{"id":4423,"date":"2023-06-09T00:29:56","date_gmt":"2023-06-09T00:29:56","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&#038;p=4423"},"modified":"2025-08-24T04:14:30","modified_gmt":"2025-08-24T04:14:30","slug":"algebraic-equations-apply-it-2","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/algebraic-equations-apply-it-2\/","title":{"raw":"Algebraic Equations: Apply It 2","rendered":"Algebraic Equations: Apply It 2"},"content":{"raw":"<h2>The Pepper Equation: Cultivating Math Skills in the Garden Cont.<\/h2>\r\n<p>Ken is excited about the prospect of growing peppers but he needs a proper place for his plants. He comes up with the idea of building a rectangular garden box from the extra wood he has in his garage.<\/p>\r\n<center>\r\n[caption id=\"attachment_6565\" align=\"aligncenter\" width=\"300\"]<img class=\"wp-image-6565 size-medium\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11195156\/6be564cc-eb5b-40c7-99cb-36b80a3b11e8-300x300.png\" alt=\"Raised garden beds\" width=\"300\" height=\"300\" \/> Figure 1. Help Ken make boxes for his garden[\/caption]\r\n<\/center>\r\n<p>&nbsp;<\/p>\r\n<p>He decides to make the box [latex]6[\/latex] feet long and [latex]3[\/latex] feet wide.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]9090[\/ohm2_question]<\/section>\r\n<p>To determine the size of the material needed to cover the bottom of his garden, he needs to find the area of the rectangular garden box.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]9091[\/ohm2_question]<\/section>\r\n<p>Everything is set for Ken's gardening adventure. Now, he turns his attention to the pepper plants themselves. He wants to understand the flowering tendencies of his pepper plant, which is crucial to predict the number of peppers he can expect. In week one, there are '[latex]f[\/latex]' number of flowers. In week two, there are [latex]5[\/latex] more than in week one. Week three shows [latex]2[\/latex] more than double the number of flowers compared to week one and in week four there are [latex]4[\/latex] less than twice week one.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]9092[\/ohm2_question]<\/section>\r\n<p>This equation is a bit complicated and can be simplified.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]9093[\/ohm2_question]<\/section>\r\n<p>If there were [latex]39[\/latex] flowers at the end of four weeks, how many flowers were on Ken's pepper plants during the first week of flowering?<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]9094[\/ohm2_question]<\/section>","rendered":"<h2>The Pepper Equation: Cultivating Math Skills in the Garden Cont.<\/h2>\n<p>Ken is excited about the prospect of growing peppers but he needs a proper place for his plants. He comes up with the idea of building a rectangular garden box from the extra wood he has in his garage.<\/p>\n<div style=\"text-align: center;\">\n<figure id=\"attachment_6565\" aria-describedby=\"caption-attachment-6565\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6565 size-medium\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11195156\/6be564cc-eb5b-40c7-99cb-36b80a3b11e8-300x300.png\" alt=\"Raised garden beds\" width=\"300\" height=\"300\" srcset=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11195156\/6be564cc-eb5b-40c7-99cb-36b80a3b11e8-300x300.png 300w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11195156\/6be564cc-eb5b-40c7-99cb-36b80a3b11e8-150x150.png 150w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11195156\/6be564cc-eb5b-40c7-99cb-36b80a3b11e8-65x65.png 65w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11195156\/6be564cc-eb5b-40c7-99cb-36b80a3b11e8-225x225.png 225w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11195156\/6be564cc-eb5b-40c7-99cb-36b80a3b11e8-350x350.png 350w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11195156\/6be564cc-eb5b-40c7-99cb-36b80a3b11e8.png 512w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><figcaption id=\"caption-attachment-6565\" class=\"wp-caption-text\">Figure 1. Help Ken make boxes for his garden<\/figcaption><\/figure>\n<\/div>\n<p>&nbsp;<\/p>\n<p>He decides to make the box [latex]6[\/latex] feet long and [latex]3[\/latex] feet wide.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm9090\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=9090&theme=lumen&iframe_resize_id=ohm9090&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>To determine the size of the material needed to cover the bottom of his garden, he needs to find the area of the rectangular garden box.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm9091\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=9091&theme=lumen&iframe_resize_id=ohm9091&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>Everything is set for Ken&#8217;s gardening adventure. Now, he turns his attention to the pepper plants themselves. He wants to understand the flowering tendencies of his pepper plant, which is crucial to predict the number of peppers he can expect. In week one, there are &#8216;[latex]f[\/latex]&#8216; number of flowers. In week two, there are [latex]5[\/latex] more than in week one. Week three shows [latex]2[\/latex] more than double the number of flowers compared to week one and in week four there are [latex]4[\/latex] less than twice week one.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm9092\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=9092&theme=lumen&iframe_resize_id=ohm9092&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>This equation is a bit complicated and can be simplified.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm9093\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=9093&theme=lumen&iframe_resize_id=ohm9093&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>If there were [latex]39[\/latex] flowers at the end of four weeks, how many flowers were on Ken&#8217;s pepper plants during the first week of flowering?<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm9094\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=9094&theme=lumen&iframe_resize_id=ohm9094&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":23,"menu_order":32,"template":"","meta":{"_candela_citation":"[]","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":[],"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\/4423"}],"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\/4423\/revisions"}],"predecessor-version":[{"id":15618,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4423\/revisions\/15618"}],"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\/4423\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/media?parent=4423"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapter-type?post=4423"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/contributor?post=4423"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/license?post=4423"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}