{"id":3118,"date":"2023-05-19T18:33:13","date_gmt":"2023-05-19T18:33:13","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&#038;p=3118"},"modified":"2024-10-18T20:54:36","modified_gmt":"2024-10-18T20:54:36","slug":"statistics-background-youll-need-2","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/statistics-background-youll-need-2\/","title":{"raw":"Statistics: Background You'll Need 2","rendered":"Statistics: Background You&#8217;ll Need 2"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Solve equations involving percents&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:12929,&quot;3&quot;:{&quot;1&quot;:0},&quot;10&quot;:0,&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;,&quot;16&quot;:10}\">Solve equations involving percents<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<p>A common application of percentages is figuring out how much to tip at a restaurant. Let's consider a scenario where we calculate a tip based on a percentage of the total bill.<\/p>\r\n<p>Aolani and her friends enjoy dinner at a restaurant, and their total bill comes to [latex]$80[\/latex]. They decide to leave a [latex]20\\%[\/latex] tip for the excellent service they received. How do we calculate the tip amount using percentages?<\/p>\r\n<p>To solve this we need to use the <strong>percent formula<\/strong>.<\/p>\r\n<section class=\"textbox keyTakeaway\">\r\n<div>\r\n<h3>percent formula<\/h3>\r\n<p>The percent formula is a mathematical way to find a part of a whole. The formula is:<\/p>\r\n<p style=\"text-align: center;\">[latex]\\text{Amount } = \\frac{\\text{Percent}}{100} \\times \\text{ base}[\/latex]<\/p>\r\n<p>where:<\/p>\r\n<ul>\r\n\t<li><strong>Amount<\/strong> is the part of the base we're trying to find (in this case, the tip).<\/li>\r\n\t<li><strong>Percent<\/strong> is the percentage we want to calculate (the tip percentage).<\/li>\r\n\t<li><strong>Base<\/strong> is the whole amount we're taking a percentage of (the total bill).<\/li>\r\n<\/ul>\r\n<\/div>\r\n<\/section>\r\n<p>To solve this, we want to find what amount is [latex]\\text{20%}[\/latex] of [latex]\\text{\\$80}[\/latex]. The base is the total bill amount. For Aolani's dinner, this is [latex]$80[\/latex]. The percent is the tip rate they wish to leave. Aolani and her friends are leaving a [latex]20\\%[\/latex] tip. To use the percent formula, we need to convert the percentage to a decimal. We do this by dividing the percent by [latex]100[\/latex].\u00a0<\/p>\r\n<p style=\"text-align: center;\">[latex]\\frac{20}{100} = .20[\/latex]<\/p>\r\n<p>Now, we use the formula to calculate the amount of the tip.<\/p>\r\n<p style=\"text-align: center;\">[latex]\\begin{array}{l} \\text{Amount} = \\frac{\\text{Percent}}{100} \\times \\text{base} \\\\ \\text{Amount} = 0.20 \\times 80 \\\\ \\text{Amount} = 16 \\\\ \\end{array}[\/latex]<\/p>\r\n<p>Therefore, a [latex]20\\%[\/latex] tip on an [latex]$80[\/latex] restaurant bill comes out to [latex]$16[\/latex].<\/p>\r\n<p>Using the percent formula is a simple and effective way to calculate a percentage of any amount. Whether you're dining out with friends or figuring out a sale discount, remember the formula [latex]\\text{Amount } = \\frac{\\text{Percent}}{100} \\times \\text{ base}[\/latex] to find your answer quickly and accurately.<\/p>\r\n<h2>Solve for Amount<\/h2>\r\n<section class=\"textbox proTip\">We must be sure to change the given percent to a decimal when we translate the words into an equation.<\/section>\r\n<section class=\"textbox example\">What number is [latex]\\text{35%}[\/latex] of [latex]90?[\/latex][reveal-answer q=\"29650\"]Show Answer[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"29650\"]\r\n\r\n<table id=\"eip-id1168467117646\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question 'what number is 35% of 90?'. Translate the words into algebra, letting the variable n equal the number, representing the word 'is' with an equals sign, writing 35% as 0.35, representing the word 'of' with a multiplication dot, and writing 90 as 90. The result is the equation, n = 0.35 \u00b7 90. Multiply to find that n = 31.5. 31.5 is 35% of 90.\">\r\n<tbody>\r\n<tr>\r\n<td>Translate into algebra. Let [latex]n=[\/latex] the number.<\/td>\r\n<td><img class=\"alignnone\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221911\/CNX_BMath_Figure_06_02_003_img-01-01.png\" alt=\"What number is 35% of 90? &quot;What number&quot; is grouped and labeled by &quot;n&quot;. &quot;Is: is labeled by &quot;=&quot;. &quot;35%&quot; is labeled as &quot;0.35&quot;, &quot;of&quot; is labeled by &quot;*&quot; and &quot;90&quot; is labeled by &quot;90&quot;.\" width=\"303\" height=\"70\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply.<\/td>\r\n<td>[latex]n=31.5[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>&nbsp;<\/td>\r\n<td>[latex]31.5[\/latex] is [latex]35\\text{%}[\/latex] of [latex]90[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p>[\/hidden-answer]<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]6840[\/ohm2_question]<\/section>\r\n<h2>Solve for the Base<\/h2>\r\n<section class=\"textbox example\">[latex]36[\/latex] is [latex]\\text{75%}[\/latex] of what number?[reveal-answer q=\"426955\"]Show Answer[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"426955\"]\r\n\r\n<table id=\"eip-id1168468657670\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question '36 is 75% of what number?' Translate the words into an equation, writing 36 as 36, representing the word 'is' with an equals sign, writing 75% as 0.75, representing the word 'of' with a multiplication dot, and letting the variable b be equal to the number. The result is the equation 36 = 0.75 \u00b7 b. Divide both sides of the equation by 0.75. Simplify. The result is 48 = b. 36 is 75% of 48.\">\r\n<tbody>\r\n<tr>\r\n<td>Translate. Let [latex]b=[\/latex] the number.<\/td>\r\n<td><img class=\"alignnone\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221918\/CNX_BMath_Figure_06_02_005_img-01.png\" alt=\"36 is 75% of what number? &quot;36&quot; is &quot;36&quot;, &quot;is&quot; is &quot;=&quot;, &quot;75%&quot; is &quot;0.75&quot;, &quot;of&quot; is &quot;*&quot;, and &quot;what number&quot; is &quot;b&quot;.\" width=\"284\" height=\"58\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Divide both sides by [latex]0.75[\/latex].<\/td>\r\n<td>[latex]{\\Large\\frac{36}{0.75}}={\\Large\\frac{0.75b}{0.75}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>\r\n<p>[latex]48=b[\/latex]<\/p>\r\n<p>[latex]36[\/latex] is [latex]75\\%[\/latex] of [latex]48[\/latex].<\/p>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p>[\/hidden-answer]<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]6841[\/ohm2_question]<\/section>\r\n<h2>Solve for the Percent<\/h2>\r\n<section class=\"textbox example\">What percent of [latex]36[\/latex] is [latex]9?[\/latex][reveal-answer q=\"654981\"]Show Answer[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"654981\"]\r\n\r\n<table id=\"eip-id1168467247493\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question 'what percent of 36 is 9?' Translate the words into algebra, letting the variable p be equal to the percent, representing the word 'of' with a multiplication dot, writing 36 as 36, representing the word 'is' with an equals sign, and writing 9 as 9. The result is the equation p times 36 is equal to 9. Divide both sides of the equation by 36. Simplify. The result is p is equal to one-fourth. Convert the fraction to decimal form. The result is p is equal to 0.25. Convert the decimal to a percent. The result is p is equal to 25%. 25% of 36 is 9.\">\r\n<tbody>\r\n<tr>\r\n<td>Translate into algebra. Let [latex]p=[\/latex] the percent.<\/td>\r\n<td><img class=\"alignnone\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221927\/CNX_BMath_Figure_06_02_007_img-01.png\" alt=\"What percent of 36 is 9? &quot;what percent&quot; is &quot;p&quot;, &quot;of&quot; is &quot;*&quot;, &quot;36&quot; is &quot;36&quot;, &quot;is&quot; is &quot;=&quot;, and &quot;9&quot; is &quot;9&quot;.\" width=\"249\" height=\"58\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Divide by [latex]36[\/latex].<\/td>\r\n<td>[latex]{\\Large\\frac{36p}{36}}={\\Large\\frac{9}{36}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]p={\\Large\\frac{1}{4}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Convert to decimal form.<\/td>\r\n<td>[latex]p=0.25[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Convert to percent.<\/td>\r\n<td>\r\n<p>[latex]p=\\text{25%}[\/latex]<\/p>\r\n<p>[latex]{\\text{25%}}[\/latex] of\u00a0[latex]{36}[\/latex] is [latex]{9}[\/latex]<\/p>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p>[\/hidden-answer]<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]6842[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Solve equations involving percents&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:12929,&quot;3&quot;:{&quot;1&quot;:0},&quot;10&quot;:0,&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;,&quot;16&quot;:10}\">Solve equations involving percents<\/span><\/li>\n<\/ul>\n<\/section>\n<p>A common application of percentages is figuring out how much to tip at a restaurant. Let&#8217;s consider a scenario where we calculate a tip based on a percentage of the total bill.<\/p>\n<p>Aolani and her friends enjoy dinner at a restaurant, and their total bill comes to [latex]$80[\/latex]. They decide to leave a [latex]20\\%[\/latex] tip for the excellent service they received. How do we calculate the tip amount using percentages?<\/p>\n<p>To solve this we need to use the <strong>percent formula<\/strong>.<\/p>\n<section class=\"textbox keyTakeaway\">\n<div>\n<h3>percent formula<\/h3>\n<p>The percent formula is a mathematical way to find a part of a whole. The formula is:<\/p>\n<p style=\"text-align: center;\">[latex]\\text{Amount } = \\frac{\\text{Percent}}{100} \\times \\text{ base}[\/latex]<\/p>\n<p>where:<\/p>\n<ul>\n<li><strong>Amount<\/strong> is the part of the base we&#8217;re trying to find (in this case, the tip).<\/li>\n<li><strong>Percent<\/strong> is the percentage we want to calculate (the tip percentage).<\/li>\n<li><strong>Base<\/strong> is the whole amount we&#8217;re taking a percentage of (the total bill).<\/li>\n<\/ul>\n<\/div>\n<\/section>\n<p>To solve this, we want to find what amount is [latex]\\text{20%}[\/latex] of [latex]\\text{\\$80}[\/latex]. The base is the total bill amount. For Aolani&#8217;s dinner, this is [latex]$80[\/latex]. The percent is the tip rate they wish to leave. Aolani and her friends are leaving a [latex]20\\%[\/latex] tip. To use the percent formula, we need to convert the percentage to a decimal. We do this by dividing the percent by [latex]100[\/latex].\u00a0<\/p>\n<p style=\"text-align: center;\">[latex]\\frac{20}{100} = .20[\/latex]<\/p>\n<p>Now, we use the formula to calculate the amount of the tip.<\/p>\n<p style=\"text-align: center;\">[latex]\\begin{array}{l} \\text{Amount} = \\frac{\\text{Percent}}{100} \\times \\text{base} \\\\ \\text{Amount} = 0.20 \\times 80 \\\\ \\text{Amount} = 16 \\\\ \\end{array}[\/latex]<\/p>\n<p>Therefore, a [latex]20\\%[\/latex] tip on an [latex]$80[\/latex] restaurant bill comes out to [latex]$16[\/latex].<\/p>\n<p>Using the percent formula is a simple and effective way to calculate a percentage of any amount. Whether you&#8217;re dining out with friends or figuring out a sale discount, remember the formula [latex]\\text{Amount } = \\frac{\\text{Percent}}{100} \\times \\text{ base}[\/latex] to find your answer quickly and accurately.<\/p>\n<h2>Solve for Amount<\/h2>\n<section class=\"textbox proTip\">We must be sure to change the given percent to a decimal when we translate the words into an equation.<\/section>\n<section class=\"textbox example\">What number is [latex]\\text{35%}[\/latex] of [latex]90?[\/latex]<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q29650\">Show Answer<\/button><\/p>\n<div id=\"q29650\" class=\"hidden-answer\" style=\"display: none\">\n<table id=\"eip-id1168467117646\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question 'what number is 35% of 90?'. Translate the words into algebra, letting the variable n equal the number, representing the word 'is' with an equals sign, writing 35% as 0.35, representing the word 'of' with a multiplication dot, and writing 90 as 90. The result is the equation, n = 0.35 \u00b7 90. Multiply to find that n = 31.5. 31.5 is 35% of 90.\">\n<tbody>\n<tr>\n<td>Translate into algebra. Let [latex]n=[\/latex] the number.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221911\/CNX_BMath_Figure_06_02_003_img-01-01.png\" alt=\"What number is 35% of 90? &quot;What number&quot; is grouped and labeled by &quot;n&quot;. &quot;Is: is labeled by &quot;=&quot;. &quot;35%&quot; is labeled as &quot;0.35&quot;, &quot;of&quot; is labeled by &quot;*&quot; and &quot;90&quot; is labeled by &quot;90&quot;.\" width=\"303\" height=\"70\" \/><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td>[latex]n=31.5[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>&nbsp;<\/td>\n<td>[latex]31.5[\/latex] is [latex]35\\text{%}[\/latex] of [latex]90[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm6840\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=6840&theme=lumen&iframe_resize_id=ohm6840&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<h2>Solve for the Base<\/h2>\n<section class=\"textbox example\">[latex]36[\/latex] is [latex]\\text{75%}[\/latex] of what number?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q426955\">Show Answer<\/button><\/p>\n<div id=\"q426955\" class=\"hidden-answer\" style=\"display: none\">\n<table id=\"eip-id1168468657670\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question '36 is 75% of what number?' Translate the words into an equation, writing 36 as 36, representing the word 'is' with an equals sign, writing 75% as 0.75, representing the word 'of' with a multiplication dot, and letting the variable b be equal to the number. The result is the equation 36 = 0.75 \u00b7 b. Divide both sides of the equation by 0.75. Simplify. The result is 48 = b. 36 is 75% of 48.\">\n<tbody>\n<tr>\n<td>Translate. Let [latex]b=[\/latex] the number.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221918\/CNX_BMath_Figure_06_02_005_img-01.png\" alt=\"36 is 75% of what number? &quot;36&quot; is &quot;36&quot;, &quot;is&quot; is &quot;=&quot;, &quot;75%&quot; is &quot;0.75&quot;, &quot;of&quot; is &quot;*&quot;, and &quot;what number&quot; is &quot;b&quot;.\" width=\"284\" height=\"58\" \/><\/td>\n<\/tr>\n<tr>\n<td>Divide both sides by [latex]0.75[\/latex].<\/td>\n<td>[latex]{\\Large\\frac{36}{0.75}}={\\Large\\frac{0.75b}{0.75}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>\n[latex]48=b[\/latex]<\/p>\n<p>[latex]36[\/latex] is [latex]75\\%[\/latex] of [latex]48[\/latex].<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm6841\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=6841&theme=lumen&iframe_resize_id=ohm6841&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<h2>Solve for the Percent<\/h2>\n<section class=\"textbox example\">What percent of [latex]36[\/latex] is [latex]9?[\/latex]<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q654981\">Show Answer<\/button><\/p>\n<div id=\"q654981\" class=\"hidden-answer\" style=\"display: none\">\n<table id=\"eip-id1168467247493\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question 'what percent of 36 is 9?' Translate the words into algebra, letting the variable p be equal to the percent, representing the word 'of' with a multiplication dot, writing 36 as 36, representing the word 'is' with an equals sign, and writing 9 as 9. The result is the equation p times 36 is equal to 9. Divide both sides of the equation by 36. Simplify. The result is p is equal to one-fourth. Convert the fraction to decimal form. The result is p is equal to 0.25. Convert the decimal to a percent. The result is p is equal to 25%. 25% of 36 is 9.\">\n<tbody>\n<tr>\n<td>Translate into algebra. Let [latex]p=[\/latex] the percent.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221927\/CNX_BMath_Figure_06_02_007_img-01.png\" alt=\"What percent of 36 is 9? &quot;what percent&quot; is &quot;p&quot;, &quot;of&quot; is &quot;*&quot;, &quot;36&quot; is &quot;36&quot;, &quot;is&quot; is &quot;=&quot;, and &quot;9&quot; is &quot;9&quot;.\" width=\"249\" height=\"58\" \/><\/td>\n<\/tr>\n<tr>\n<td>Divide by [latex]36[\/latex].<\/td>\n<td>[latex]{\\Large\\frac{36p}{36}}={\\Large\\frac{9}{36}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]p={\\Large\\frac{1}{4}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Convert to decimal form.<\/td>\n<td>[latex]p=0.25[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Convert to percent.<\/td>\n<td>\n[latex]p=\\text{25%}[\/latex]<\/p>\n<p>[latex]{\\text{25%}}[\/latex] of\u00a0[latex]{36}[\/latex] is [latex]{9}[\/latex]<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm6842\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=6842&theme=lumen&iframe_resize_id=ohm6842&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":16,"menu_order":3,"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\"}]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":86,"module-header":"background_you_need","content_attributions":[{"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"}],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/3118"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/users\/16"}],"version-history":[{"count":19,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/3118\/revisions"}],"predecessor-version":[{"id":13900,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/3118\/revisions\/13900"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/parts\/86"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/3118\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/media?parent=3118"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapter-type?post=3118"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/contributor?post=3118"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/license?post=3118"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}