{"id":4409,"date":"2023-06-09T00:27:21","date_gmt":"2023-06-09T00:27:21","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&#038;p=4409"},"modified":"2025-08-24T04:07:39","modified_gmt":"2025-08-24T04:07:39","slug":"percentages-apply-it-1","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/percentages-apply-it-1\/","title":{"raw":"Percents: Apply It 1","rendered":"Percents: Apply It 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Write percents and perform calculations<\/li>\r\n\t<li>Determine unit rate using percentages<\/li>\r\n\t<li>Find both the relative and absolute change<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Breakfast Crunch: Crunching Numbers Over Cereal<\/h2>\r\n<p>The smell of freshly brewed coffee and the sound of birds singing outside signal the start of a beautiful Saturday morning. You're looking forward to a relaxing breakfast with your favorite cereal, but oh no! The box is almost empty. This seemingly mundane situation, however, offers an excellent opportunity to put your math skills into practice. Let's take this day as an opportunity to delve into percentages, unit prices, relative and absolute change, and even some volume calculations. Ready? Let's get started!<\/p>\r\n<center>\r\n[caption id=\"attachment_6544\" align=\"aligncenter\" width=\"500\"]<img class=\"wp-image-6544\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11163351\/samantha-gades-HlnTtGV0Yfg-unsplash-300x226.jpg\" alt=\"Cap'n Crunch and Reese's Puffs cereal boxes.\" width=\"500\" height=\"376\" \/> Figure 1. Calculate the volume of the cereal box[\/caption]\r\n<\/center>\r\n<p>&nbsp;<\/p>\r\n<p>The box of cereal left on the shelf is listed as containing [latex]10.5[\/latex] ounces of cereal. After measuring, you notice there are only [latex]3[\/latex] ounces left.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]9072[\/ohm2_question]<\/section>\r\n<p>After a delicious but slightly meager breakfast, you decide it's time for a grocery run. While there, you find yourself in the cereal aisle, contemplating different box sizes of your favorite brand. There's more to consider here than just the price - you're thinking about unit prices, absolute, and relative changes in quantities.<\/p>\r\n<p>You're comparing two boxes of cereal: the [latex]18.6[\/latex]-ounce box costs [latex]$5.29[\/latex], and the [latex]26.1[\/latex]-ounce box costs [latex]$6.49[\/latex].<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]9073[\/ohm2_question]<\/section>\r\n<p>You notice there's a wider range of box sizes than you initially thought. The smallest box is [latex]10.5[\/latex] ounces and the largest box is [latex]32[\/latex] ounces.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]9074[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Write percents and perform calculations<\/li>\n<li>Determine unit rate using percentages<\/li>\n<li>Find both the relative and absolute change<\/li>\n<\/ul>\n<\/section>\n<h2>Breakfast Crunch: Crunching Numbers Over Cereal<\/h2>\n<p>The smell of freshly brewed coffee and the sound of birds singing outside signal the start of a beautiful Saturday morning. You&#8217;re looking forward to a relaxing breakfast with your favorite cereal, but oh no! The box is almost empty. This seemingly mundane situation, however, offers an excellent opportunity to put your math skills into practice. Let&#8217;s take this day as an opportunity to delve into percentages, unit prices, relative and absolute change, and even some volume calculations. Ready? Let&#8217;s get started!<\/p>\n<div style=\"text-align: center;\">\n<figure id=\"attachment_6544\" aria-describedby=\"caption-attachment-6544\" style=\"width: 500px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6544\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11163351\/samantha-gades-HlnTtGV0Yfg-unsplash-300x226.jpg\" alt=\"Cap'n Crunch and Reese's Puffs cereal boxes.\" width=\"500\" height=\"376\" srcset=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11163351\/samantha-gades-HlnTtGV0Yfg-unsplash-300x226.jpg 300w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11163351\/samantha-gades-HlnTtGV0Yfg-unsplash-1024x770.jpg 1024w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11163351\/samantha-gades-HlnTtGV0Yfg-unsplash-768x578.jpg 768w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11163351\/samantha-gades-HlnTtGV0Yfg-unsplash-1536x1156.jpg 1536w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11163351\/samantha-gades-HlnTtGV0Yfg-unsplash-2048x1541.jpg 2048w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11163351\/samantha-gades-HlnTtGV0Yfg-unsplash-1200x903.jpg 1200w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11163351\/samantha-gades-HlnTtGV0Yfg-unsplash-65x49.jpg 65w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11163351\/samantha-gades-HlnTtGV0Yfg-unsplash-225x169.jpg 225w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11163351\/samantha-gades-HlnTtGV0Yfg-unsplash-350x263.jpg 350w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><figcaption id=\"caption-attachment-6544\" class=\"wp-caption-text\">Figure 1. Calculate the volume of the cereal box<\/figcaption><\/figure>\n<\/div>\n<p>&nbsp;<\/p>\n<p>The box of cereal left on the shelf is listed as containing [latex]10.5[\/latex] ounces of cereal. After measuring, you notice there are only [latex]3[\/latex] ounces left.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm9072\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=9072&theme=lumen&iframe_resize_id=ohm9072&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>After a delicious but slightly meager breakfast, you decide it&#8217;s time for a grocery run. While there, you find yourself in the cereal aisle, contemplating different box sizes of your favorite brand. There&#8217;s more to consider here than just the price &#8211; you&#8217;re thinking about unit prices, absolute, and relative changes in quantities.<\/p>\n<p>You&#8217;re comparing two boxes of cereal: the [latex]18.6[\/latex]-ounce box costs [latex]$5.29[\/latex], and the [latex]26.1[\/latex]-ounce box costs [latex]$6.49[\/latex].<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm9073\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=9073&theme=lumen&iframe_resize_id=ohm9073&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>You notice there&#8217;s a wider range of box sizes than you initially thought. The smallest box is [latex]10.5[\/latex] ounces and the largest box is [latex]32[\/latex] ounces.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm9074\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=9074&theme=lumen&iframe_resize_id=ohm9074&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":23,"menu_order":14,"template":"","meta":{"_candela_citation":"[{\"type\":\"copyrighted_video\",\"description\":\"90s Kidu2019s Cereal\",\"author\":\"Samantha Gades\",\"organization\":\"Unsplash\",\"url\":\"https:\/\/unsplash.com\/photos\/HlnTtGV0Yfg\",\"project\":\"\",\"license\":\"arr\",\"license_terms\":\"\"}]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":54,"module-header":"apply_it","content_attributions":[{"type":"copyrighted_video","description":"90s Kidu2019s Cereal","author":"Samantha Gades","organization":"Unsplash","url":"https:\/\/unsplash.com\/photos\/HlnTtGV0Yfg","project":"","license":"arr","license_terms":""}],"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\/4409"}],"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\/23"}],"version-history":[{"count":11,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4409\/revisions"}],"predecessor-version":[{"id":15608,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4409\/revisions\/15608"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/parts\/54"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4409\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/media?parent=4409"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapter-type?post=4409"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/contributor?post=4409"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/license?post=4409"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}