{"id":10446,"date":"2017-05-26T20:41:04","date_gmt":"2017-05-26T20:41:04","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=10446"},"modified":"2017-12-23T01:11:42","modified_gmt":"2017-12-23T01:11:42","slug":"using-the-simple-interest-formula-to-calculate-interest-earned","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/chapter\/using-the-simple-interest-formula-to-calculate-interest-earned\/","title":{"raw":"Using the Simple Interest Formula to Calculate Interest Earned","rendered":"Using the Simple Interest Formula to Calculate Interest Earned"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Outcomes<\/h3>\r\n<ul>\r\n \t<li>Calculate simple interest earned given time, rate, and principal<\/li>\r\n \t<li>Calculate principal given interest earned and rate<\/li>\r\n \t<li>Calculate interest rate given principal and interest earned<\/li>\r\n<\/ul>\r\n<\/div>\r\nDo you know that banks pay you to let them keep your money? The money you put in the bank is called the <strong>principal<\/strong>, [latex]P[\/latex], and the bank pays you <strong>interest<\/strong>, [latex]I[\/latex]. The interest is computed as a certain percent of the principal; called the <strong>rate of interest<\/strong>, [latex]r[\/latex]. The rate of interest is usually expressed as a percent per year, and is calculated by using the decimal equivalent of the percent. The variable for time, [latex]t[\/latex], represents the number of years the money is left in the account.\r\n<div class=\"textbox shaded\">\r\n<h3>Simple Interest<\/h3>\r\nIf an amount of money, [latex]P[\/latex], the principal, is invested for a period of [latex]t[\/latex] years at an annual interest rate [latex]r[\/latex], the amount of interest, [latex]I[\/latex], earned is\r\n\r\n[latex]I=Prt[\/latex]\r\nwhere\r\n\r\n[latex]\\begin{array}{ccc}\\hfill I&amp; =&amp; \\text{interest}\\hfill \\\\ \\hfill P&amp; =&amp; \\text{principal}\\hfill \\\\ \\hfill r&amp; =&amp; \\text{rate}\\hfill \\\\ \\hfill t&amp; =&amp; \\text{time}\\hfill \\end{array}[\/latex]\r\nInterest earned according to this formula is called simple interest.\r\n\r\n<\/div>\r\nThe formula we use to calculate simple interest is [latex]I=Prt[\/latex]. To use the simple interest formula we substitute in the values for variables that are given, and then solve for the unknown variable. It may be helpful to organize the information by listing all four variables and filling in the given information.\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nFind the simple interest earned after [latex]3[\/latex] years on [latex]\\text{\\$500}[\/latex] at an interest rate of [latex]\\text{6%.}[\/latex]\r\n\r\nSolution\r\nOrganize the given information in a list.\r\n[latex]\\begin{array}{ccc}\\hfill I&amp; =&amp; ?\\hfill \\\\ \\hfill P&amp; =&amp; \\text{$500}\\hfill \\\\ \\hfill r&amp; =&amp; \\text{6%}\\hfill \\\\ \\hfill t&amp; =&amp; \\text{3 years}\\hfill \\end{array}[\/latex]\r\nWe will use the simple interest formula to find the interest.\r\n<table id=\"eip-id1168468231398\" class=\"unnumbered unstyled\" summary=\".\" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td>Write the formula.<\/td>\r\n<td data-align=\"center\">[latex]I=Prt[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Substitute the given information. Remember to write the percent in decimal form.<\/td>\r\n<td data-align=\"center\">[latex]I=\\left(500\\right)\\left(0.06\\right)\\left(3\\right)[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td data-align=\"center\">[latex]I=90[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Check your answer. Is [latex]\\text{\\$90}[\/latex] a reasonable interest earned on [latex]\\text{\\$500}[\/latex] in [latex]3[\/latex] years?<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>In [latex]3[\/latex] years the money earned [latex]18\\text{%}[\/latex]. If we rounded to [latex]20\\text{%}[\/latex], the interest would have been [latex]500(0.20)[\/latex] or [latex]\\text{\\$100}[\/latex]. Yes, [latex]\\text{\\$90}[\/latex] is reasonable.<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a complete sentence that answers the question.<\/td>\r\n<td>The simple interest is [latex]\\text{\\$90}[\/latex].<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question]146779[\/ohm_question]\r\n\r\n<\/div>\r\nIn the next example, we will use the simple interest formula to find the principal.\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nFind the principal invested if [latex]\\text{\\$178}[\/latex] interest was earned in [latex]2[\/latex] years at an interest rate of [latex]\\text{4%.}[\/latex]\r\n[reveal-answer q=\"444881\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"444881\"]\r\n\r\nSolution\r\nOrganize the given information in a list.\r\n[latex]\\begin{array}{ccc}\\hfill I&amp; =&amp; \\text{$178}\\hfill \\\\ \\hfill P&amp; =&amp; ?\\hfill \\\\ \\hfill r&amp; =&amp; \\text{4%}\\hfill \\\\ \\hfill t&amp; =&amp; \\text{2 years}\\hfill \\end{array}[\/latex]\r\nWe will use the simple interest formula to find the principal.\r\n<table id=\"eip-id1168466234219\" class=\"unnumbered unstyled\" summary=\".\" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td>Write the formula.<\/td>\r\n<td>[latex]I=Prt[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Substitute the given information.<\/td>\r\n<td>[latex]178=P\\left(0.04\\right)\\left(2\\right)[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Divide.<\/td>\r\n<td>[latex]\\Large\\frac{178}{0.08}\\normalsize =\\Large\\frac{0.08P}{0.08}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]2,225=P[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Check your answer. Is it reasonable that [latex]\\text{\\$2,225}[\/latex] would earn [latex]\\text{\\$178}[\/latex] in [latex]2[\/latex] years?<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]I=Prt[\/latex]<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]178\\stackrel{?}{=}2,225\\left(0.04\\right)\\left(2\\right)[\/latex]<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]178=178\\quad\\checkmark [\/latex]<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a complete sentence that answers the question.<\/td>\r\n<td>The principal is [latex]\\text{\\$2,225}[\/latex].<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question]146780[\/ohm_question]\r\n\r\n<\/div>\r\nNow we will solve for the rate of interest.\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nFind the rate if a principal of [latex]\\text{\\$8,200}[\/latex] earned [latex]\\text{\\$3,772}[\/latex] interest in [latex]4[\/latex] years.\r\n[reveal-answer q=\"480028\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"480028\"]\r\n\r\nSolution\r\nOrganize the given information.\r\n[latex]\\begin{array}{ccc}\\hfill I&amp; =&amp; \\text{\\$3,772}\\hfill \\\\ \\hfill P&amp; =&amp; \\text{\\$8,200}\\hfill \\\\ \\hfill r&amp; =&amp; ?\\hfill \\\\ \\hfill t&amp; =&amp; \\text{4 years}\\hfill \\end{array}[\/latex]\r\nWe will use the simple interest formula to find the rate.\r\n<table id=\"eip-id1168469481185\" class=\"unnumbered unstyled\" summary=\".\" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td>Write the formula.<\/td>\r\n<td>[latex]I=Prt[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Substitute the given information.<\/td>\r\n<td>[latex]3,772=8,200r\\left(4\\right)[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply.<\/td>\r\n<td>[latex]3,772=32,800r[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Divide.<\/td>\r\n<td>[latex]\\Large\\frac{3,772}{32,800}\\normalsize =\\Large\\frac{32,800r}{32,800}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]0.115=r[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write as a percent.<\/td>\r\n<td>[latex]\\text{11.5%}=r[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Check your answer. Is [latex]11.5\\text{%}[\/latex] a reasonable rate if [latex]\\text{\\$3,772}[\/latex] was earned in [latex]4[\/latex] years?<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-align=\"center\">[latex]I=Prt[\/latex]<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-align=\"center\">[latex]3,772\\stackrel{?}{=}8,200\\left(0.115\\right)\\left(4\\right)[\/latex]<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-align=\"center\">[latex]3,772=3,772\\quad\\checkmark [\/latex]<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a complete sentence that answers the question.<\/td>\r\n<td>The rate was [latex]11.5\\text{%}[\/latex].<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question]146784[\/ohm_question]\r\n\r\n<\/div>","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li>Calculate simple interest earned given time, rate, and principal<\/li>\n<li>Calculate principal given interest earned and rate<\/li>\n<li>Calculate interest rate given principal and interest earned<\/li>\n<\/ul>\n<\/div>\n<p>Do you know that banks pay you to let them keep your money? The money you put in the bank is called the <strong>principal<\/strong>, [latex]P[\/latex], and the bank pays you <strong>interest<\/strong>, [latex]I[\/latex]. The interest is computed as a certain percent of the principal; called the <strong>rate of interest<\/strong>, [latex]r[\/latex]. The rate of interest is usually expressed as a percent per year, and is calculated by using the decimal equivalent of the percent. The variable for time, [latex]t[\/latex], represents the number of years the money is left in the account.<\/p>\n<div class=\"textbox shaded\">\n<h3>Simple Interest<\/h3>\n<p>If an amount of money, [latex]P[\/latex], the principal, is invested for a period of [latex]t[\/latex] years at an annual interest rate [latex]r[\/latex], the amount of interest, [latex]I[\/latex], earned is<\/p>\n<p>[latex]I=Prt[\/latex]<br \/>\nwhere<\/p>\n<p>[latex]\\begin{array}{ccc}\\hfill I& =& \\text{interest}\\hfill \\\\ \\hfill P& =& \\text{principal}\\hfill \\\\ \\hfill r& =& \\text{rate}\\hfill \\\\ \\hfill t& =& \\text{time}\\hfill \\end{array}[\/latex]<br \/>\nInterest earned according to this formula is called simple interest.<\/p>\n<\/div>\n<p>The formula we use to calculate simple interest is [latex]I=Prt[\/latex]. To use the simple interest formula we substitute in the values for variables that are given, and then solve for the unknown variable. It may be helpful to organize the information by listing all four variables and filling in the given information.<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Find the simple interest earned after [latex]3[\/latex] years on [latex]\\text{\\$500}[\/latex] at an interest rate of [latex]\\text{6%.}[\/latex]<\/p>\n<p>Solution<br \/>\nOrganize the given information in a list.<br \/>\n[latex]\\begin{array}{ccc}\\hfill I& =& ?\\hfill \\\\ \\hfill P& =& \\text{$500}\\hfill \\\\ \\hfill r& =& \\text{6%}\\hfill \\\\ \\hfill t& =& \\text{3 years}\\hfill \\end{array}[\/latex]<br \/>\nWe will use the simple interest formula to find the interest.<\/p>\n<table id=\"eip-id1168468231398\" class=\"unnumbered unstyled\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td>Write the formula.<\/td>\n<td data-align=\"center\">[latex]I=Prt[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Substitute the given information. Remember to write the percent in decimal form.<\/td>\n<td data-align=\"center\">[latex]I=\\left(500\\right)\\left(0.06\\right)\\left(3\\right)[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td data-align=\"center\">[latex]I=90[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Check your answer. Is [latex]\\text{\\$90}[\/latex] a reasonable interest earned on [latex]\\text{\\$500}[\/latex] in [latex]3[\/latex] years?<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>In [latex]3[\/latex] years the money earned [latex]18\\text{%}[\/latex]. If we rounded to [latex]20\\text{%}[\/latex], the interest would have been [latex]500(0.20)[\/latex] or [latex]\\text{\\$100}[\/latex]. Yes, [latex]\\text{\\$90}[\/latex] is reasonable.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence that answers the question.<\/td>\n<td>The simple interest is [latex]\\text{\\$90}[\/latex].<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146779\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146779&theme=oea&iframe_resize_id=ohm146779&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>In the next example, we will use the simple interest formula to find the principal.<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Find the principal invested if [latex]\\text{\\$178}[\/latex] interest was earned in [latex]2[\/latex] years at an interest rate of [latex]\\text{4%.}[\/latex]<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q444881\">Show Solution<\/span><\/p>\n<div id=\"q444881\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<br \/>\nOrganize the given information in a list.<br \/>\n[latex]\\begin{array}{ccc}\\hfill I& =& \\text{$178}\\hfill \\\\ \\hfill P& =& ?\\hfill \\\\ \\hfill r& =& \\text{4%}\\hfill \\\\ \\hfill t& =& \\text{2 years}\\hfill \\end{array}[\/latex]<br \/>\nWe will use the simple interest formula to find the principal.<\/p>\n<table id=\"eip-id1168466234219\" class=\"unnumbered unstyled\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td>Write the formula.<\/td>\n<td>[latex]I=Prt[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Substitute the given information.<\/td>\n<td>[latex]178=P\\left(0.04\\right)\\left(2\\right)[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Divide.<\/td>\n<td>[latex]\\Large\\frac{178}{0.08}\\normalsize =\\Large\\frac{0.08P}{0.08}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]2,225=P[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Check your answer. Is it reasonable that [latex]\\text{\\$2,225}[\/latex] would earn [latex]\\text{\\$178}[\/latex] in [latex]2[\/latex] years?<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>[latex]I=Prt[\/latex]<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>[latex]178\\stackrel{?}{=}2,225\\left(0.04\\right)\\left(2\\right)[\/latex]<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>[latex]178=178\\quad\\checkmark[\/latex]<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence that answers the question.<\/td>\n<td>The principal is [latex]\\text{\\$2,225}[\/latex].<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146780\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146780&theme=oea&iframe_resize_id=ohm146780&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>Now we will solve for the rate of interest.<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Find the rate if a principal of [latex]\\text{\\$8,200}[\/latex] earned [latex]\\text{\\$3,772}[\/latex] interest in [latex]4[\/latex] years.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q480028\">Show Solution<\/span><\/p>\n<div id=\"q480028\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<br \/>\nOrganize the given information.<br \/>\n[latex]\\begin{array}{ccc}\\hfill I& =& \\text{\\$3,772}\\hfill \\\\ \\hfill P& =& \\text{\\$8,200}\\hfill \\\\ \\hfill r& =& ?\\hfill \\\\ \\hfill t& =& \\text{4 years}\\hfill \\end{array}[\/latex]<br \/>\nWe will use the simple interest formula to find the rate.<\/p>\n<table id=\"eip-id1168469481185\" class=\"unnumbered unstyled\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td>Write the formula.<\/td>\n<td>[latex]I=Prt[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Substitute the given information.<\/td>\n<td>[latex]3,772=8,200r\\left(4\\right)[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td>[latex]3,772=32,800r[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Divide.<\/td>\n<td>[latex]\\Large\\frac{3,772}{32,800}\\normalsize =\\Large\\frac{32,800r}{32,800}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]0.115=r[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write as a percent.<\/td>\n<td>[latex]\\text{11.5%}=r[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Check your answer. Is [latex]11.5\\text{%}[\/latex] a reasonable rate if [latex]\\text{\\$3,772}[\/latex] was earned in [latex]4[\/latex] years?<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td data-align=\"center\">[latex]I=Prt[\/latex]<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td data-align=\"center\">[latex]3,772\\stackrel{?}{=}8,200\\left(0.115\\right)\\left(4\\right)[\/latex]<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td data-align=\"center\">[latex]3,772=3,772\\quad\\checkmark[\/latex]<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence that answers the question.<\/td>\n<td>The rate was [latex]11.5\\text{%}[\/latex].<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146784\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146784&theme=oea&iframe_resize_id=ohm146784&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-10446\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Question ID 146784, 146783, 146782. <strong>Authored by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":17533,"menu_order":18,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"},{\"type\":\"original\",\"description\":\"Question ID 146784, 146783, 146782\",\"author\":\"Lumen Learning\",\"organization\":\"\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"e8fc6c24-18eb-4ec6-8630-d5d5459ce2b5","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-10446","chapter","type-chapter","status-publish","hentry"],"part":7176,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10446","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":17,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10446\/revisions"}],"predecessor-version":[{"id":15622,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10446\/revisions\/15622"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/parts\/7176"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10446\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/media?parent=10446"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=10446"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/contributor?post=10446"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/license?post=10446"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}