{"id":4632,"date":"2020-04-21T00:19:12","date_gmt":"2020-04-21T00:19:12","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/chapter\/introduction-describing-quantities-and-how-they-change\/"},"modified":"2020-04-22T22:18:09","modified_gmt":"2020-04-22T22:18:09","slug":"introduction-describing-quantities-and-how-they-change","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/chapter\/introduction-describing-quantities-and-how-they-change\/","title":{"raw":"Introduction to Proportional Relationships and a Bit of Geometry","rendered":"Introduction to Proportional Relationships and a Bit of Geometry"},"content":{"raw":"<h2>What you\u2019ll learn to do:\u00a0Apply proportional relationships to problems involving rates, money, or geometry<\/h2>\r\nIn the 2004 vice-presidential debates, Democratic contender John Edwards claimed that\u00a0US forces have suffered \"90% of the coalition casualties\" in Iraq. Incumbent Vice President Dick Cheney disputed this, saying that in fact Iraqi security forces and coalition allies \"have taken almost 50 percent\" of the casualties.[footnote]<a href=\"https:\/\/web.archive.org\/web\/20121118071034\/https:\/\/www.factcheck.org\/cheney_edwards_mangle_facts.html\" target=\"_blank\" rel=\"noopener\">http:\/\/www.factcheck.org\/cheney_edwards_mangle_facts.html<\/a>[\/footnote]\r\n\r\n<img class=\"aligncenter wp-image-268\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/4914\/2019\/12\/16231647\/cheney.jpeg\" alt=\"Vice President Dick Cheney speaks to service members March 18 at Balad Air Base, Iraq. The vice president came to the base to visit deployed military men and women serving in support of Operation Iraqi Freedom. \" width=\"622\" height=\"413\" \/>\r\n\r\n&nbsp;\r\n\r\nWho was\u00a0correct? How can we make sense of these numbers?\r\n\r\nIn this section, we will show how the idea of percent is used to describe parts of a whole. \u00a0Percents are prevalent in the media we consume regularly, making it imperative that you understand what they mean and where they come from.\r\n\r\nWe will also show you how to compare different quantities using proportions. \u00a0Proportions can help us understand how things change or relate to each other.","rendered":"<h2>What you\u2019ll learn to do:\u00a0Apply proportional relationships to problems involving rates, money, or geometry<\/h2>\n<p>In the 2004 vice-presidential debates, Democratic contender John Edwards claimed that\u00a0US forces have suffered &#8220;90% of the coalition casualties&#8221; in Iraq. Incumbent Vice President Dick Cheney disputed this, saying that in fact Iraqi security forces and coalition allies &#8220;have taken almost 50 percent&#8221; of the casualties.<a class=\"footnote\" title=\"http:\/\/www.factcheck.org\/cheney_edwards_mangle_facts.html\" id=\"return-footnote-4632-1\" href=\"#footnote-4632-1\" aria-label=\"Footnote 1\"><sup class=\"footnote\">[1]<\/sup><\/a><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-268\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/4914\/2019\/12\/16231647\/cheney.jpeg\" alt=\"Vice President Dick Cheney speaks to service members March 18 at Balad Air Base, Iraq. The vice president came to the base to visit deployed military men and women serving in support of Operation Iraqi Freedom.\" width=\"622\" height=\"413\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Who was\u00a0correct? How can we make sense of these numbers?<\/p>\n<p>In this section, we will show how the idea of percent is used to describe parts of a whole. \u00a0Percents are prevalent in the media we consume regularly, making it imperative that you understand what they mean and where they come from.<\/p>\n<p>We will also show you how to compare different quantities using proportions. \u00a0Proportions can help us understand how things change or relate to each other.<\/p>\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-4632\">\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>Revision and Adaptation. <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, Shared previously<\/div><ul class=\"citation-list\"><li>Math in Society. <strong>Authored by<\/strong>: Lippman, David. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/www.opentextbookstore.com\/mathinsociety\/\">http:\/\/www.opentextbookstore.com\/mathinsociety\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">Public domain content<\/div><ul class=\"citation-list\"><li><strong>Authored by<\/strong>: Senior Airman Julianne Showalter. <strong>Provided by<\/strong>: U.S. Air Force photo. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.af.mil\/News\/Article-Display\/Article\/124060\/vice-president-visits-troops-at-balad\/\">https:\/\/www.af.mil\/News\/Article-Display\/Article\/124060\/vice-president-visits-troops-at-balad\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/pdm\">Public Domain: No Known Copyright<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section><hr class=\"before-footnotes clear\" \/><div class=\"footnotes\"><ol><li id=\"footnote-4632-1\"><a href=\"https:\/\/web.archive.org\/web\/20121118071034\/https:\/\/www.factcheck.org\/cheney_edwards_mangle_facts.html\" target=\"_blank\" rel=\"noopener\">http:\/\/www.factcheck.org\/cheney_edwards_mangle_facts.html<\/a> <a href=\"#return-footnote-4632-1\" class=\"return-footnote\" aria-label=\"Return to footnote 1\">&crarr;<\/a><\/li><\/ol><\/div>","protected":false},"author":17533,"menu_order":13,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"Revision and Adaptation\",\"author\":\"Lumen Learning\",\"organization\":\"\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Math in Society\",\"author\":\"Lippman, David\",\"organization\":\"\",\"url\":\"http:\/\/www.opentextbookstore.com\/mathinsociety\/\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"pd\",\"description\":\"\",\"author\":\"Senior Airman Julianne Showalter\",\"organization\":\"U.S. Air Force photo\",\"url\":\"https:\/\/www.af.mil\/News\/Article-Display\/Article\/124060\/vice-president-visits-troops-at-balad\/\",\"project\":\"\",\"license\":\"pd\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"17b09601-9d36-4cc6-9fdf-954c6c740864","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-4632","chapter","type-chapter","status-publish","hentry"],"part":4619,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/4632","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/4632\/revisions"}],"predecessor-version":[{"id":4690,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/4632\/revisions\/4690"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/parts\/4619"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/4632\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/wp\/v2\/media?parent=4632"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=4632"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/wp\/v2\/contributor?post=4632"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/wp\/v2\/license?post=4632"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}