Question 1<\/h3>\r\nSuppose for a more expensive style of jeans, the average cost is $50 and the cost\u00a0 changes by up to $7 between stores. In other words, suppose that at some stores\u00a0 jeans cost up to $7 more, while in other stores jeans cost up to $7 less.\r\n\r\n \t- Use the number line provided to represent the corresponding cost range for these jeans.\r\n
![\"\"](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/08\/18223437\/10A-Coreq-2-300x35.png\")
<\/li>\r\n \t - Using your answer from Part a, would $63 be considered within the upper and lower bounds of the cost interval? Explain.<\/li>\r\n<\/ol>\r\n<\/div>\r\n\r\n
Question 2<\/h3>\r\nSuppose you want to buy jeans somewhere a bit more expensive, where the\u00a0 average cost is $70. These jeans cost up to $9 more at some stores and up to $9\u00a0 less at other stores.\r\n\r\n \t- Use the number line provided to represent the corresponding cost range for these jeans.\r\n
![\"\"](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/08\/18223822\/10A-Coreq-3-300x34.png\")
<\/li>\r\n \t - Would $75 be within the upper and lower bounds of the cost interval?\u00a0 Explain.<\/li>\r\n<\/ol>\r\n<\/div>\r\n\r\n
Question 3<\/h3>\r\nThe weight of a box of cereal filled by a machine is 16 ounces (oz). However,\u00a0 sometimes the box is overfilled by up to 0.5 oz, and sometimes the box is underfilled\u00a0 by up to 0.5 oz.\r\n\r\n \t- \u00a0We could represent the weight of the box of cereal (in oz) as 16\u00a0[latex] \\pm [\/latex] ____.<\/li>\r\n \t
- The weight of the box of cereal filled by the machine is between ____ and\u00a0 _____.<\/li>\r\n \t
- Write your answer from Part b in interval notation form, which is: (lower\u00a0 bound, upper bound).<\/li>\r\n<\/ol>\r\n<\/div>\r\n\r\n
Question 4<\/h3>\r\nUse the number line provided to represent the interval for the weight of the box of cereal. Use a dot for the center of the interval and parentheses for the upper and\u00a0 lower bounds.\r\n\r\n![\"\"](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/08\/18223907\/10A-Coreq-4-300x29.png\")
\r\n\r\n<\/div>\r\n\r\nQuestion 5<\/h3>\r\nWhich of the following values are contained in the interval? Choose all that apply.\r\n\r\n \t- \u00a015.2<\/li>\r\n \t
- 15.4<\/li>\r\n \t
- 15.8<\/li>\r\n \t
- 16.4<\/li>\r\n \t
- 16.6<\/li>\r\n<\/ol>\r\n<\/div>\r\n\r\n
Question 6<\/h3>\r\nIntervals can also be made for proportions. To answer the following questions, use\u00a0 the following expression: 0.35\u00a0[latex] \\pm [\/latex] 0.08.\r\n\r\n \t- Subtract 0.08 from 0.35; we call this the lower bound.<\/li>\r\n \t
- Add 0.35 to 0.08; we call this the upper bound.<\/li>\r\n \t
- Plot the interval on the number line provided using a dot for the center of the\u00a0 interval and parentheses for the upper and lower bounds.\r\n
![\"\"](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/08\/18224055\/10A-Coreq-5-300x28.png\")
<\/li>\r\n<\/ol>\r\n<\/div>\r\n \r\n\r\n ","rendered":"In the next preview assignment and in the next class, you will need to label intervals on\u00a0 number lines and use \u00b1 notation.<\/p>\n
Labeling Intervals on Number Lines<\/p>\n
Suppose you want to buy a pair of jeans. At department stores, the average cost of\u00a0 jeans may be $30. Suppose at some stores the cost may be up to $5 over that cost,\u00a0 while at other stores the cost may be up to $5 lower than that cost.<\/p>\n
We can write this using [latex]\\pm[\/latex] notation as $30\u00a0[latex]\\pm[\/latex] $5. If we subtract 5 from 30, we get $25 [latex](30 \u2013 5 = 25)[\/latex], and if we add 5 to 30, we get $35 [latex](30 + 5 = 35)[\/latex].<\/p>\n
This makes our cost range for department store jeans $25 to $35. This can be\u00a0 represented on a number line by putting a dot in the center at 30 and drawing a line that\u00a0 extends 5 in both directions.<\/p>\n
![\"\"](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/08\/18223313\/10A-Coreq-1-300x30.png\")
<\/p>\n
\nQuestion 1<\/h3>\n
Suppose for a more expensive style of jeans, the average cost is $50 and the cost\u00a0 changes by up to $7 between stores. In other words, suppose that at some stores\u00a0 jeans cost up to $7 more, while in other stores jeans cost up to $7 less.<\/p>\n
\n- Use the number line provided to represent the corresponding cost range for these jeans.
\n<\/li>\n - Using your answer from Part a, would $63 be considered within the upper and lower bounds of the cost interval? Explain.<\/li>\n<\/ol>\n<\/div>\n\n
Question 2<\/h3>\n
Suppose you want to buy jeans somewhere a bit more expensive, where the\u00a0 average cost is $70. These jeans cost up to $9 more at some stores and up to $9\u00a0 less at other stores.<\/p>\n
\n- Use the number line provided to represent the corresponding cost range for these jeans.
\n<\/li>\n - Would $75 be within the upper and lower bounds of the cost interval?\u00a0 Explain.<\/li>\n<\/ol>\n<\/div>\n\n
Question 3<\/h3>\n
The weight of a box of cereal filled by a machine is 16 ounces (oz). However,\u00a0 sometimes the box is overfilled by up to 0.5 oz, and sometimes the box is underfilled\u00a0 by up to 0.5 oz.<\/p>\n
\n- \u00a0We could represent the weight of the box of cereal (in oz) as 16\u00a0[latex]\\pm[\/latex] ____.<\/li>\n
- The weight of the box of cereal filled by the machine is between ____ and\u00a0 _____.<\/li>\n
- Write your answer from Part b in interval notation form, which is: (lower\u00a0 bound, upper bound).<\/li>\n<\/ol>\n<\/div>\n\n
Question 4<\/h3>\n
Use the number line provided to represent the interval for the weight of the box of cereal. Use a dot for the center of the interval and parentheses for the upper and\u00a0 lower bounds.<\/p>\n
<\/p>\n<\/div>\n
\nQuestion 5<\/h3>\n
Which of the following values are contained in the interval? Choose all that apply.<\/p>\n
\n- \u00a015.2<\/li>\n
- 15.4<\/li>\n
- 15.8<\/li>\n
- 16.4<\/li>\n
- 16.6<\/li>\n<\/ol>\n<\/div>\n\n
Question 6<\/h3>\n
Intervals can also be made for proportions. To answer the following questions, use\u00a0 the following expression: 0.35\u00a0[latex]\\pm[\/latex] 0.08.<\/p>\n
\n- Subtract 0.08 from 0.35; we call this the lower bound.<\/li>\n
- Add 0.35 to 0.08; we call this the upper bound.<\/li>\n
- Plot the interval on the number line provided using a dot for the center of the\u00a0 interval and parentheses for the upper and lower bounds.
\n<\/li>\n<\/ol>\n<\/div>\n <\/p>\n
<\/p>\n","protected":false},"author":574340,"menu_order":1,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-5222","chapter","type-chapter","status-publish","hentry"],"part":5220,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/574340"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/revisions"}],"predecessor-version":[{"id":5229,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/revisions\/5229"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/5220"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=5222"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=5222"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=5222"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=5222"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
<\/li>\r\n \tQuestion 2<\/h3>\r\nSuppose you want to buy jeans somewhere a bit more expensive, where the\u00a0 average cost is $70. These jeans cost up to $9 more at some stores and up to $9\u00a0 less at other stores.\r\n\r\n \t- Use the number line provided to represent the corresponding cost range for these jeans.\r\n<\/li>\r\n \t
- Would $75 be within the upper and lower bounds of the cost interval?\u00a0 Explain.<\/li>\r\n<\/ol>\r\n<\/div>\r\n\r\n
Question 3<\/h3>\r\nThe weight of a box of cereal filled by a machine is 16 ounces (oz). However,\u00a0 sometimes the box is overfilled by up to 0.5 oz, and sometimes the box is underfilled\u00a0 by up to 0.5 oz.\r\n\r\n \t- \u00a0We could represent the weight of the box of cereal (in oz) as 16\u00a0[latex] \\pm [\/latex] ____.<\/li>\r\n \t
- The weight of the box of cereal filled by the machine is between ____ and\u00a0 _____.<\/li>\r\n \t
- Write your answer from Part b in interval notation form, which is: (lower\u00a0 bound, upper bound).<\/li>\r\n<\/ol>\r\n<\/div>\r\n\r\n
Question 4<\/h3>\r\nUse the number line provided to represent the interval for the weight of the box of cereal. Use a dot for the center of the interval and parentheses for the upper and\u00a0 lower bounds.\r\n\r\n\r\n\r\n<\/div>\r\n\r\nQuestion 5<\/h3>\r\nWhich of the following values are contained in the interval? Choose all that apply.\r\n\r\n \t- \u00a015.2<\/li>\r\n \t
- 15.4<\/li>\r\n \t
- 15.8<\/li>\r\n \t
- 16.4<\/li>\r\n \t
- 16.6<\/li>\r\n<\/ol>\r\n<\/div>\r\n\r\n
Question 6<\/h3>\r\nIntervals can also be made for proportions. To answer the following questions, use\u00a0 the following expression: 0.35\u00a0[latex] \\pm [\/latex] 0.08.\r\n\r\n \t- Subtract 0.08 from 0.35; we call this the lower bound.<\/li>\r\n \t
- Add 0.35 to 0.08; we call this the upper bound.<\/li>\r\n \t
- Plot the interval on the number line provided using a dot for the center of the\u00a0 interval and parentheses for the upper and lower bounds.\r\n<\/li>\r\n<\/ol>\r\n<\/div>\r\n \r\n\r\n ","rendered":"
In the next preview assignment and in the next class, you will need to label intervals on\u00a0 number lines and use \u00b1 notation.<\/p>\n
Labeling Intervals on Number Lines<\/p>\n
Suppose you want to buy a pair of jeans. At department stores, the average cost of\u00a0 jeans may be $30. Suppose at some stores the cost may be up to $5 over that cost,\u00a0 while at other stores the cost may be up to $5 lower than that cost.<\/p>\n
We can write this using [latex]\\pm[\/latex] notation as $30\u00a0[latex]\\pm[\/latex] $5. If we subtract 5 from 30, we get $25 [latex](30 \u2013 5 = 25)[\/latex], and if we add 5 to 30, we get $35 [latex](30 + 5 = 35)[\/latex].<\/p>\n
This makes our cost range for department store jeans $25 to $35. This can be\u00a0 represented on a number line by putting a dot in the center at 30 and drawing a line that\u00a0 extends 5 in both directions.<\/p>\n
<\/p>\n
\nQuestion 1<\/h3>\n
Suppose for a more expensive style of jeans, the average cost is $50 and the cost\u00a0 changes by up to $7 between stores. In other words, suppose that at some stores\u00a0 jeans cost up to $7 more, while in other stores jeans cost up to $7 less.<\/p>\n
\n- Use the number line provided to represent the corresponding cost range for these jeans.
\n<\/li>\n - Using your answer from Part a, would $63 be considered within the upper and lower bounds of the cost interval? Explain.<\/li>\n<\/ol>\n<\/div>\n\n
Question 2<\/h3>\n
Suppose you want to buy jeans somewhere a bit more expensive, where the\u00a0 average cost is $70. These jeans cost up to $9 more at some stores and up to $9\u00a0 less at other stores.<\/p>\n
\n- Use the number line provided to represent the corresponding cost range for these jeans.
\n<\/li>\n - Would $75 be within the upper and lower bounds of the cost interval?\u00a0 Explain.<\/li>\n<\/ol>\n<\/div>\n\n
Question 3<\/h3>\n
The weight of a box of cereal filled by a machine is 16 ounces (oz). However,\u00a0 sometimes the box is overfilled by up to 0.5 oz, and sometimes the box is underfilled\u00a0 by up to 0.5 oz.<\/p>\n
\n- \u00a0We could represent the weight of the box of cereal (in oz) as 16\u00a0[latex]\\pm[\/latex] ____.<\/li>\n
- The weight of the box of cereal filled by the machine is between ____ and\u00a0 _____.<\/li>\n
- Write your answer from Part b in interval notation form, which is: (lower\u00a0 bound, upper bound).<\/li>\n<\/ol>\n<\/div>\n\n
Question 4<\/h3>\n
Use the number line provided to represent the interval for the weight of the box of cereal. Use a dot for the center of the interval and parentheses for the upper and\u00a0 lower bounds.<\/p>\n
<\/p>\n<\/div>\n
\nQuestion 5<\/h3>\n
Which of the following values are contained in the interval? Choose all that apply.<\/p>\n
\n- \u00a015.2<\/li>\n
- 15.4<\/li>\n
- 15.8<\/li>\n
- 16.4<\/li>\n
- 16.6<\/li>\n<\/ol>\n<\/div>\n\n
Question 6<\/h3>\n
Intervals can also be made for proportions. To answer the following questions, use\u00a0 the following expression: 0.35\u00a0[latex]\\pm[\/latex] 0.08.<\/p>\n
\n- Subtract 0.08 from 0.35; we call this the lower bound.<\/li>\n
- Add 0.35 to 0.08; we call this the upper bound.<\/li>\n
- Plot the interval on the number line provided using a dot for the center of the\u00a0 interval and parentheses for the upper and lower bounds.
\n<\/li>\n<\/ol>\n<\/div>\n <\/p>\n
<\/p>\n","protected":false},"author":574340,"menu_order":1,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-5222","chapter","type-chapter","status-publish","hentry"],"part":5220,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/574340"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/revisions"}],"predecessor-version":[{"id":5229,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/revisions\/5229"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/5220"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=5222"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=5222"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=5222"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=5222"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
<\/li>\r\n \tQuestion 3<\/h3>\r\nThe weight of a box of cereal filled by a machine is 16 ounces (oz). However,\u00a0 sometimes the box is overfilled by up to 0.5 oz, and sometimes the box is underfilled\u00a0 by up to 0.5 oz.\r\n\r\n \t- \u00a0We could represent the weight of the box of cereal (in oz) as 16\u00a0[latex] \\pm [\/latex] ____.<\/li>\r\n \t
- The weight of the box of cereal filled by the machine is between ____ and\u00a0 _____.<\/li>\r\n \t
- Write your answer from Part b in interval notation form, which is: (lower\u00a0 bound, upper bound).<\/li>\r\n<\/ol>\r\n<\/div>\r\n\r\n
Question 4<\/h3>\r\nUse the number line provided to represent the interval for the weight of the box of cereal. Use a dot for the center of the interval and parentheses for the upper and\u00a0 lower bounds.\r\n\r\n\r\n\r\n<\/div>\r\n\r\nQuestion 5<\/h3>\r\nWhich of the following values are contained in the interval? Choose all that apply.\r\n\r\n \t- \u00a015.2<\/li>\r\n \t
- 15.4<\/li>\r\n \t
- 15.8<\/li>\r\n \t
- 16.4<\/li>\r\n \t
- 16.6<\/li>\r\n<\/ol>\r\n<\/div>\r\n\r\n
Question 6<\/h3>\r\nIntervals can also be made for proportions. To answer the following questions, use\u00a0 the following expression: 0.35\u00a0[latex] \\pm [\/latex] 0.08.\r\n\r\n \t- Subtract 0.08 from 0.35; we call this the lower bound.<\/li>\r\n \t
- Add 0.35 to 0.08; we call this the upper bound.<\/li>\r\n \t
- Plot the interval on the number line provided using a dot for the center of the\u00a0 interval and parentheses for the upper and lower bounds.\r\n<\/li>\r\n<\/ol>\r\n<\/div>\r\n \r\n\r\n ","rendered":"
In the next preview assignment and in the next class, you will need to label intervals on\u00a0 number lines and use \u00b1 notation.<\/p>\n
Labeling Intervals on Number Lines<\/p>\n
Suppose you want to buy a pair of jeans. At department stores, the average cost of\u00a0 jeans may be $30. Suppose at some stores the cost may be up to $5 over that cost,\u00a0 while at other stores the cost may be up to $5 lower than that cost.<\/p>\n
We can write this using [latex]\\pm[\/latex] notation as $30\u00a0[latex]\\pm[\/latex] $5. If we subtract 5 from 30, we get $25 [latex](30 \u2013 5 = 25)[\/latex], and if we add 5 to 30, we get $35 [latex](30 + 5 = 35)[\/latex].<\/p>\n
This makes our cost range for department store jeans $25 to $35. This can be\u00a0 represented on a number line by putting a dot in the center at 30 and drawing a line that\u00a0 extends 5 in both directions.<\/p>\n
<\/p>\n
\nQuestion 1<\/h3>\n
Suppose for a more expensive style of jeans, the average cost is $50 and the cost\u00a0 changes by up to $7 between stores. In other words, suppose that at some stores\u00a0 jeans cost up to $7 more, while in other stores jeans cost up to $7 less.<\/p>\n
\n- Use the number line provided to represent the corresponding cost range for these jeans.
\n<\/li>\n - Using your answer from Part a, would $63 be considered within the upper and lower bounds of the cost interval? Explain.<\/li>\n<\/ol>\n<\/div>\n\n
Question 2<\/h3>\n
Suppose you want to buy jeans somewhere a bit more expensive, where the\u00a0 average cost is $70. These jeans cost up to $9 more at some stores and up to $9\u00a0 less at other stores.<\/p>\n
\n- Use the number line provided to represent the corresponding cost range for these jeans.
\n<\/li>\n - Would $75 be within the upper and lower bounds of the cost interval?\u00a0 Explain.<\/li>\n<\/ol>\n<\/div>\n\n
Question 3<\/h3>\n
The weight of a box of cereal filled by a machine is 16 ounces (oz). However,\u00a0 sometimes the box is overfilled by up to 0.5 oz, and sometimes the box is underfilled\u00a0 by up to 0.5 oz.<\/p>\n
\n- \u00a0We could represent the weight of the box of cereal (in oz) as 16\u00a0[latex]\\pm[\/latex] ____.<\/li>\n
- The weight of the box of cereal filled by the machine is between ____ and\u00a0 _____.<\/li>\n
- Write your answer from Part b in interval notation form, which is: (lower\u00a0 bound, upper bound).<\/li>\n<\/ol>\n<\/div>\n\n
Question 4<\/h3>\n
Use the number line provided to represent the interval for the weight of the box of cereal. Use a dot for the center of the interval and parentheses for the upper and\u00a0 lower bounds.<\/p>\n
<\/p>\n<\/div>\n
\nQuestion 5<\/h3>\n
Which of the following values are contained in the interval? Choose all that apply.<\/p>\n
\n- \u00a015.2<\/li>\n
- 15.4<\/li>\n
- 15.8<\/li>\n
- 16.4<\/li>\n
- 16.6<\/li>\n<\/ol>\n<\/div>\n\n
Question 6<\/h3>\n
Intervals can also be made for proportions. To answer the following questions, use\u00a0 the following expression: 0.35\u00a0[latex]\\pm[\/latex] 0.08.<\/p>\n
\n- Subtract 0.08 from 0.35; we call this the lower bound.<\/li>\n
- Add 0.35 to 0.08; we call this the upper bound.<\/li>\n
- Plot the interval on the number line provided using a dot for the center of the\u00a0 interval and parentheses for the upper and lower bounds.
\n<\/li>\n<\/ol>\n<\/div>\n <\/p>\n
<\/p>\n","protected":false},"author":574340,"menu_order":1,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-5222","chapter","type-chapter","status-publish","hentry"],"part":5220,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/574340"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/revisions"}],"predecessor-version":[{"id":5229,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/revisions\/5229"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/5220"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=5222"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=5222"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=5222"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=5222"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Question 4<\/h3>\r\nUse the number line provided to represent the interval for the weight of the box of cereal. Use a dot for the center of the interval and parentheses for the upper and\u00a0 lower bounds.\r\n\r\n\r\n\r\n<\/div>\r\n\r\nQuestion 5<\/h3>\r\nWhich of the following values are contained in the interval? Choose all that apply.\r\n\r\n \t- \u00a015.2<\/li>\r\n \t
- 15.4<\/li>\r\n \t
- 15.8<\/li>\r\n \t
- 16.4<\/li>\r\n \t
- 16.6<\/li>\r\n<\/ol>\r\n<\/div>\r\n\r\n
Question 6<\/h3>\r\nIntervals can also be made for proportions. To answer the following questions, use\u00a0 the following expression: 0.35\u00a0[latex] \\pm [\/latex] 0.08.\r\n\r\n \t- Subtract 0.08 from 0.35; we call this the lower bound.<\/li>\r\n \t
- Add 0.35 to 0.08; we call this the upper bound.<\/li>\r\n \t
- Plot the interval on the number line provided using a dot for the center of the\u00a0 interval and parentheses for the upper and lower bounds.\r\n<\/li>\r\n<\/ol>\r\n<\/div>\r\n \r\n\r\n ","rendered":"
In the next preview assignment and in the next class, you will need to label intervals on\u00a0 number lines and use \u00b1 notation.<\/p>\n
Labeling Intervals on Number Lines<\/p>\n
Suppose you want to buy a pair of jeans. At department stores, the average cost of\u00a0 jeans may be $30. Suppose at some stores the cost may be up to $5 over that cost,\u00a0 while at other stores the cost may be up to $5 lower than that cost.<\/p>\n
We can write this using [latex]\\pm[\/latex] notation as $30\u00a0[latex]\\pm[\/latex] $5. If we subtract 5 from 30, we get $25 [latex](30 \u2013 5 = 25)[\/latex], and if we add 5 to 30, we get $35 [latex](30 + 5 = 35)[\/latex].<\/p>\n
This makes our cost range for department store jeans $25 to $35. This can be\u00a0 represented on a number line by putting a dot in the center at 30 and drawing a line that\u00a0 extends 5 in both directions.<\/p>\n
<\/p>\n
\nQuestion 1<\/h3>\n
Suppose for a more expensive style of jeans, the average cost is $50 and the cost\u00a0 changes by up to $7 between stores. In other words, suppose that at some stores\u00a0 jeans cost up to $7 more, while in other stores jeans cost up to $7 less.<\/p>\n
\n- Use the number line provided to represent the corresponding cost range for these jeans.
\n<\/li>\n - Using your answer from Part a, would $63 be considered within the upper and lower bounds of the cost interval? Explain.<\/li>\n<\/ol>\n<\/div>\n\n
Question 2<\/h3>\n
Suppose you want to buy jeans somewhere a bit more expensive, where the\u00a0 average cost is $70. These jeans cost up to $9 more at some stores and up to $9\u00a0 less at other stores.<\/p>\n
\n- Use the number line provided to represent the corresponding cost range for these jeans.
\n<\/li>\n - Would $75 be within the upper and lower bounds of the cost interval?\u00a0 Explain.<\/li>\n<\/ol>\n<\/div>\n\n
Question 3<\/h3>\n
The weight of a box of cereal filled by a machine is 16 ounces (oz). However,\u00a0 sometimes the box is overfilled by up to 0.5 oz, and sometimes the box is underfilled\u00a0 by up to 0.5 oz.<\/p>\n
\n- \u00a0We could represent the weight of the box of cereal (in oz) as 16\u00a0[latex]\\pm[\/latex] ____.<\/li>\n
- The weight of the box of cereal filled by the machine is between ____ and\u00a0 _____.<\/li>\n
- Write your answer from Part b in interval notation form, which is: (lower\u00a0 bound, upper bound).<\/li>\n<\/ol>\n<\/div>\n\n
Question 4<\/h3>\n
Use the number line provided to represent the interval for the weight of the box of cereal. Use a dot for the center of the interval and parentheses for the upper and\u00a0 lower bounds.<\/p>\n
<\/p>\n<\/div>\n
\nQuestion 5<\/h3>\n
Which of the following values are contained in the interval? Choose all that apply.<\/p>\n
\n- \u00a015.2<\/li>\n
- 15.4<\/li>\n
- 15.8<\/li>\n
- 16.4<\/li>\n
- 16.6<\/li>\n<\/ol>\n<\/div>\n\n
Question 6<\/h3>\n
Intervals can also be made for proportions. To answer the following questions, use\u00a0 the following expression: 0.35\u00a0[latex]\\pm[\/latex] 0.08.<\/p>\n
\n- Subtract 0.08 from 0.35; we call this the lower bound.<\/li>\n
- Add 0.35 to 0.08; we call this the upper bound.<\/li>\n
- Plot the interval on the number line provided using a dot for the center of the\u00a0 interval and parentheses for the upper and lower bounds.
\n<\/li>\n<\/ol>\n<\/div>\n <\/p>\n
<\/p>\n","protected":false},"author":574340,"menu_order":1,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-5222","chapter","type-chapter","status-publish","hentry"],"part":5220,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/574340"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/revisions"}],"predecessor-version":[{"id":5229,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/revisions\/5229"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/5220"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=5222"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=5222"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=5222"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=5222"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Question 5<\/h3>\r\nWhich of the following values are contained in the interval? Choose all that apply.\r\n\r\n \t- \u00a015.2<\/li>\r\n \t
- 15.4<\/li>\r\n \t
- 15.8<\/li>\r\n \t
- 16.4<\/li>\r\n \t
- 16.6<\/li>\r\n<\/ol>\r\n<\/div>\r\n\r\n
Question 6<\/h3>\r\nIntervals can also be made for proportions. To answer the following questions, use\u00a0 the following expression: 0.35\u00a0[latex] \\pm [\/latex] 0.08.\r\n\r\n \t- Subtract 0.08 from 0.35; we call this the lower bound.<\/li>\r\n \t
- Add 0.35 to 0.08; we call this the upper bound.<\/li>\r\n \t
- Plot the interval on the number line provided using a dot for the center of the\u00a0 interval and parentheses for the upper and lower bounds.\r\n<\/li>\r\n<\/ol>\r\n<\/div>\r\n \r\n\r\n ","rendered":"
In the next preview assignment and in the next class, you will need to label intervals on\u00a0 number lines and use \u00b1 notation.<\/p>\n
Labeling Intervals on Number Lines<\/p>\n
Suppose you want to buy a pair of jeans. At department stores, the average cost of\u00a0 jeans may be $30. Suppose at some stores the cost may be up to $5 over that cost,\u00a0 while at other stores the cost may be up to $5 lower than that cost.<\/p>\n
We can write this using [latex]\\pm[\/latex] notation as $30\u00a0[latex]\\pm[\/latex] $5. If we subtract 5 from 30, we get $25 [latex](30 \u2013 5 = 25)[\/latex], and if we add 5 to 30, we get $35 [latex](30 + 5 = 35)[\/latex].<\/p>\n
This makes our cost range for department store jeans $25 to $35. This can be\u00a0 represented on a number line by putting a dot in the center at 30 and drawing a line that\u00a0 extends 5 in both directions.<\/p>\n
<\/p>\n
\nQuestion 1<\/h3>\n
Suppose for a more expensive style of jeans, the average cost is $50 and the cost\u00a0 changes by up to $7 between stores. In other words, suppose that at some stores\u00a0 jeans cost up to $7 more, while in other stores jeans cost up to $7 less.<\/p>\n
\n- Use the number line provided to represent the corresponding cost range for these jeans.
\n<\/li>\n - Using your answer from Part a, would $63 be considered within the upper and lower bounds of the cost interval? Explain.<\/li>\n<\/ol>\n<\/div>\n\n
Question 2<\/h3>\n
Suppose you want to buy jeans somewhere a bit more expensive, where the\u00a0 average cost is $70. These jeans cost up to $9 more at some stores and up to $9\u00a0 less at other stores.<\/p>\n
\n- Use the number line provided to represent the corresponding cost range for these jeans.
\n<\/li>\n - Would $75 be within the upper and lower bounds of the cost interval?\u00a0 Explain.<\/li>\n<\/ol>\n<\/div>\n\n
Question 3<\/h3>\n
The weight of a box of cereal filled by a machine is 16 ounces (oz). However,\u00a0 sometimes the box is overfilled by up to 0.5 oz, and sometimes the box is underfilled\u00a0 by up to 0.5 oz.<\/p>\n
\n- \u00a0We could represent the weight of the box of cereal (in oz) as 16\u00a0[latex]\\pm[\/latex] ____.<\/li>\n
- The weight of the box of cereal filled by the machine is between ____ and\u00a0 _____.<\/li>\n
- Write your answer from Part b in interval notation form, which is: (lower\u00a0 bound, upper bound).<\/li>\n<\/ol>\n<\/div>\n\n
Question 4<\/h3>\n
Use the number line provided to represent the interval for the weight of the box of cereal. Use a dot for the center of the interval and parentheses for the upper and\u00a0 lower bounds.<\/p>\n
<\/p>\n<\/div>\n
\nQuestion 5<\/h3>\n
Which of the following values are contained in the interval? Choose all that apply.<\/p>\n
\n- \u00a015.2<\/li>\n
- 15.4<\/li>\n
- 15.8<\/li>\n
- 16.4<\/li>\n
- 16.6<\/li>\n<\/ol>\n<\/div>\n\n
Question 6<\/h3>\n
Intervals can also be made for proportions. To answer the following questions, use\u00a0 the following expression: 0.35\u00a0[latex]\\pm[\/latex] 0.08.<\/p>\n
\n- Subtract 0.08 from 0.35; we call this the lower bound.<\/li>\n
- Add 0.35 to 0.08; we call this the upper bound.<\/li>\n
- Plot the interval on the number line provided using a dot for the center of the\u00a0 interval and parentheses for the upper and lower bounds.
\n<\/li>\n<\/ol>\n<\/div>\n <\/p>\n
<\/p>\n","protected":false},"author":574340,"menu_order":1,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-5222","chapter","type-chapter","status-publish","hentry"],"part":5220,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/574340"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/revisions"}],"predecessor-version":[{"id":5229,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/revisions\/5229"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/5220"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=5222"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=5222"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=5222"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=5222"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Question 6<\/h3>\r\nIntervals can also be made for proportions. To answer the following questions, use\u00a0 the following expression: 0.35\u00a0[latex] \\pm [\/latex] 0.08.\r\n\r\n \t- Subtract 0.08 from 0.35; we call this the lower bound.<\/li>\r\n \t
- Add 0.35 to 0.08; we call this the upper bound.<\/li>\r\n \t
- Plot the interval on the number line provided using a dot for the center of the\u00a0 interval and parentheses for the upper and lower bounds.\r\n<\/li>\r\n<\/ol>\r\n<\/div>\r\n \r\n\r\n ","rendered":"
In the next preview assignment and in the next class, you will need to label intervals on\u00a0 number lines and use \u00b1 notation.<\/p>\n
Labeling Intervals on Number Lines<\/p>\n
Suppose you want to buy a pair of jeans. At department stores, the average cost of\u00a0 jeans may be $30. Suppose at some stores the cost may be up to $5 over that cost,\u00a0 while at other stores the cost may be up to $5 lower than that cost.<\/p>\n
We can write this using [latex]\\pm[\/latex] notation as $30\u00a0[latex]\\pm[\/latex] $5. If we subtract 5 from 30, we get $25 [latex](30 \u2013 5 = 25)[\/latex], and if we add 5 to 30, we get $35 [latex](30 + 5 = 35)[\/latex].<\/p>\n
This makes our cost range for department store jeans $25 to $35. This can be\u00a0 represented on a number line by putting a dot in the center at 30 and drawing a line that\u00a0 extends 5 in both directions.<\/p>\n
<\/p>\n
\nQuestion 1<\/h3>\n
Suppose for a more expensive style of jeans, the average cost is $50 and the cost\u00a0 changes by up to $7 between stores. In other words, suppose that at some stores\u00a0 jeans cost up to $7 more, while in other stores jeans cost up to $7 less.<\/p>\n
\n- Use the number line provided to represent the corresponding cost range for these jeans.
\n<\/li>\n - Using your answer from Part a, would $63 be considered within the upper and lower bounds of the cost interval? Explain.<\/li>\n<\/ol>\n<\/div>\n\n
Question 2<\/h3>\n
Suppose you want to buy jeans somewhere a bit more expensive, where the\u00a0 average cost is $70. These jeans cost up to $9 more at some stores and up to $9\u00a0 less at other stores.<\/p>\n
\n- Use the number line provided to represent the corresponding cost range for these jeans.
\n<\/li>\n - Would $75 be within the upper and lower bounds of the cost interval?\u00a0 Explain.<\/li>\n<\/ol>\n<\/div>\n\n
Question 3<\/h3>\n
The weight of a box of cereal filled by a machine is 16 ounces (oz). However,\u00a0 sometimes the box is overfilled by up to 0.5 oz, and sometimes the box is underfilled\u00a0 by up to 0.5 oz.<\/p>\n
\n- \u00a0We could represent the weight of the box of cereal (in oz) as 16\u00a0[latex]\\pm[\/latex] ____.<\/li>\n
- The weight of the box of cereal filled by the machine is between ____ and\u00a0 _____.<\/li>\n
- Write your answer from Part b in interval notation form, which is: (lower\u00a0 bound, upper bound).<\/li>\n<\/ol>\n<\/div>\n\n
Question 4<\/h3>\n
Use the number line provided to represent the interval for the weight of the box of cereal. Use a dot for the center of the interval and parentheses for the upper and\u00a0 lower bounds.<\/p>\n
<\/p>\n<\/div>\n
\nQuestion 5<\/h3>\n
Which of the following values are contained in the interval? Choose all that apply.<\/p>\n
\n- \u00a015.2<\/li>\n
- 15.4<\/li>\n
- 15.8<\/li>\n
- 16.4<\/li>\n
- 16.6<\/li>\n<\/ol>\n<\/div>\n\n
Question 6<\/h3>\n
Intervals can also be made for proportions. To answer the following questions, use\u00a0 the following expression: 0.35\u00a0[latex]\\pm[\/latex] 0.08.<\/p>\n
\n- Subtract 0.08 from 0.35; we call this the lower bound.<\/li>\n
- Add 0.35 to 0.08; we call this the upper bound.<\/li>\n
- Plot the interval on the number line provided using a dot for the center of the\u00a0 interval and parentheses for the upper and lower bounds.
\n<\/li>\n<\/ol>\n<\/div>\n <\/p>\n
<\/p>\n","protected":false},"author":574340,"menu_order":1,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-5222","chapter","type-chapter","status-publish","hentry"],"part":5220,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/574340"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/revisions"}],"predecessor-version":[{"id":5229,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/revisions\/5229"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/5220"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5222\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=5222"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=5222"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=5222"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=5222"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
<\/li>\r\n<\/ol>\r\n<\/div>\r\n \r\n\r\n ","rendered":"In the next preview assignment and in the next class, you will need to label intervals on\u00a0 number lines and use \u00b1 notation.<\/p>\n
Labeling Intervals on Number Lines<\/p>\n
Suppose you want to buy a pair of jeans. At department stores, the average cost of\u00a0 jeans may be $30. Suppose at some stores the cost may be up to $5 over that cost,\u00a0 while at other stores the cost may be up to $5 lower than that cost.<\/p>\n
We can write this using [latex]\\pm[\/latex] notation as $30\u00a0[latex]\\pm[\/latex] $5. If we subtract 5 from 30, we get $25 [latex](30 \u2013 5 = 25)[\/latex], and if we add 5 to 30, we get $35 [latex](30 + 5 = 35)[\/latex].<\/p>\n
This makes our cost range for department store jeans $25 to $35. This can be\u00a0 represented on a number line by putting a dot in the center at 30 and drawing a line that\u00a0 extends 5 in both directions.<\/p>\n
<\/p>\n
Question 1<\/h3>\n
Suppose for a more expensive style of jeans, the average cost is $50 and the cost\u00a0 changes by up to $7 between stores. In other words, suppose that at some stores\u00a0 jeans cost up to $7 more, while in other stores jeans cost up to $7 less.<\/p>\n
- \n
- Use the number line provided to represent the corresponding cost range for these jeans.
\n<\/li>\n - Using your answer from Part a, would $63 be considered within the upper and lower bounds of the cost interval? Explain.<\/li>\n<\/ol>\n<\/div>\n\n
Question 2<\/h3>\n
Suppose you want to buy jeans somewhere a bit more expensive, where the\u00a0 average cost is $70. These jeans cost up to $9 more at some stores and up to $9\u00a0 less at other stores.<\/p>\n
- \n
- Use the number line provided to represent the corresponding cost range for these jeans.
\n<\/li>\n - Would $75 be within the upper and lower bounds of the cost interval?\u00a0 Explain.<\/li>\n<\/ol>\n<\/div>\n\n
Question 3<\/h3>\n
The weight of a box of cereal filled by a machine is 16 ounces (oz). However,\u00a0 sometimes the box is overfilled by up to 0.5 oz, and sometimes the box is underfilled\u00a0 by up to 0.5 oz.<\/p>\n
- \n
- \u00a0We could represent the weight of the box of cereal (in oz) as 16\u00a0[latex]\\pm[\/latex] ____.<\/li>\n
- The weight of the box of cereal filled by the machine is between ____ and\u00a0 _____.<\/li>\n
- Write your answer from Part b in interval notation form, which is: (lower\u00a0 bound, upper bound).<\/li>\n<\/ol>\n<\/div>\n\n
Question 4<\/h3>\n
Use the number line provided to represent the interval for the weight of the box of cereal. Use a dot for the center of the interval and parentheses for the upper and\u00a0 lower bounds.<\/p>\n
<\/p>\n<\/div>\n\nQuestion 5<\/h3>\n
Which of the following values are contained in the interval? Choose all that apply.<\/p>\n
- \n
- \u00a015.2<\/li>\n
- 15.4<\/li>\n
- 15.8<\/li>\n
- 16.4<\/li>\n
- 16.6<\/li>\n<\/ol>\n<\/div>\n\n
Question 6<\/h3>\n
Intervals can also be made for proportions. To answer the following questions, use\u00a0 the following expression: 0.35\u00a0[latex]\\pm[\/latex] 0.08.<\/p>\n
- \n
- Subtract 0.08 from 0.35; we call this the lower bound.<\/li>\n
- Add 0.35 to 0.08; we call this the upper bound.<\/li>\n
- Plot the interval on the number line provided using a dot for the center of the\u00a0 interval and parentheses for the upper and lower bounds.
\n<\/li>\n<\/ol>\n<\/div>\n<\/p>\n
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- Use the number line provided to represent the corresponding cost range for these jeans.