{"id":4421,"date":"2023-06-09T00:29:44","date_gmt":"2023-06-09T00:29:44","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&#038;p=4421"},"modified":"2025-08-24T04:13:41","modified_gmt":"2025-08-24T04:13:41","slug":"algebraic-equations-apply-it-1","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/algebraic-equations-apply-it-1\/","title":{"raw":"Algebraic Equations: Apply It 1","rendered":"Algebraic Equations: Apply It 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Simplify and calculate an algebraic equation<\/li>\r\n\t<li>Find the value of a variable that satisfies an equation<\/li>\r\n\t<li>Determine whether an equation can be solved with a single answer, cannot be solved at all, or has an infinite number of possible solutions<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>The Pepper Equation: Cultivating Math Skills in the Garden<\/h2>\r\n<p>Meet Ken, a high school math teacher and gardening enthusiast. He has a newfound love for pepper plants and decided to use his math skills to help him in his gardening adventure. The objective of this activity is to apply our knowledge of algebraic expressions, variables, and solving equations to practical situations.<\/p>\r\n<center>\r\n[caption id=\"attachment_6560\" align=\"aligncenter\" width=\"384\"]<img class=\"wp-image-6560\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11184621\/pexels-%EA%B9%80-%EB%8C%80%EC%A0%95-14769866-230x300.jpg\" alt=\"Man holding peppers in garden\" width=\"384\" height=\"500\" \/> Figure 1. Help Ken write an equation for his pepper plant growth[\/caption]\r\n<\/center>\r\n<p>&nbsp;<\/p>\r\n<p>Ken's journey begins with a small pepper plant that he wants to nurture and grow.<\/p>\r\n<p>Ken noticed that his new plant is [latex]10[\/latex] inches tall. From his research, he found that pepper plants generally grow [latex]\\frac{1}{4}[\/latex] inch per day for the first [latex]4[\/latex] weeks. He's uncertain how many days he can keep this plant alive, so he uses the variable '[latex]d[\/latex]' to represent the unknown number of days.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]9088[\/ohm2_question]<\/section>\r\n<p>Using the expression found above, how tall will Ken's pepper plant be after [latex]14[\/latex] days, or when [latex]d = 14[\/latex]?<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]9089[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Simplify and calculate an algebraic equation<\/li>\n<li>Find the value of a variable that satisfies an equation<\/li>\n<li>Determine whether an equation can be solved with a single answer, cannot be solved at all, or has an infinite number of possible solutions<\/li>\n<\/ul>\n<\/section>\n<h2>The Pepper Equation: Cultivating Math Skills in the Garden<\/h2>\n<p>Meet Ken, a high school math teacher and gardening enthusiast. He has a newfound love for pepper plants and decided to use his math skills to help him in his gardening adventure. The objective of this activity is to apply our knowledge of algebraic expressions, variables, and solving equations to practical situations.<\/p>\n<div style=\"text-align: center;\">\n<figure id=\"attachment_6560\" aria-describedby=\"caption-attachment-6560\" style=\"width: 384px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6560\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11184621\/pexels-%EA%B9%80-%EB%8C%80%EC%A0%95-14769866-230x300.jpg\" alt=\"Man holding peppers in garden\" width=\"384\" height=\"500\" srcset=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11184621\/pexels-%EA%B9%80-%EB%8C%80%EC%A0%95-14769866-230x300.jpg 230w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11184621\/pexels-%EA%B9%80-%EB%8C%80%EC%A0%95-14769866-786x1024.jpg 786w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11184621\/pexels-%EA%B9%80-%EB%8C%80%EC%A0%95-14769866-768x1001.jpg 768w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11184621\/pexels-%EA%B9%80-%EB%8C%80%EC%A0%95-14769866-1179x1536.jpg 1179w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11184621\/pexels-%EA%B9%80-%EB%8C%80%EC%A0%95-14769866-1572x2048.jpg 1572w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11184621\/pexels-%EA%B9%80-%EB%8C%80%EC%A0%95-14769866-1200x1564.jpg 1200w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11184621\/pexels-%EA%B9%80-%EB%8C%80%EC%A0%95-14769866-65x85.jpg 65w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11184621\/pexels-%EA%B9%80-%EB%8C%80%EC%A0%95-14769866-225x293.jpg 225w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11184621\/pexels-%EA%B9%80-%EB%8C%80%EC%A0%95-14769866-350x456.jpg 350w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/11184621\/pexels-%EA%B9%80-%EB%8C%80%EC%A0%95-14769866-scaled.jpg 1965w\" sizes=\"(max-width: 384px) 100vw, 384px\" \/><figcaption id=\"caption-attachment-6560\" class=\"wp-caption-text\">Figure 1. Help Ken write an equation for his pepper plant growth<\/figcaption><\/figure>\n<\/div>\n<p>&nbsp;<\/p>\n<p>Ken&#8217;s journey begins with a small pepper plant that he wants to nurture and grow.<\/p>\n<p>Ken noticed that his new plant is [latex]10[\/latex] inches tall. From his research, he found that pepper plants generally grow [latex]\\frac{1}{4}[\/latex] inch per day for the first [latex]4[\/latex] weeks. He&#8217;s uncertain how many days he can keep this plant alive, so he uses the variable &#8216;[latex]d[\/latex]&#8216; to represent the unknown number of days.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm9088\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=9088&theme=lumen&iframe_resize_id=ohm9088&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>Using the expression found above, how tall will Ken&#8217;s pepper plant be after [latex]14[\/latex] days, or when [latex]d = 14[\/latex]?<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm9089\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=9089&theme=lumen&iframe_resize_id=ohm9089&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":23,"menu_order":31,"template":"","meta":{"_candela_citation":"[{\"type\":\"copyrighted_video\",\"description\":\"A Man in Checkered Shirt Holding Red Chili Peppers\",\"author\":\"daejeung\",\"organization\":\"Pexels\",\"url\":\"https:\/\/www.pexels.com\/photo\/a-man-in-checkered-shirt-holding-red-chili-peppers-14769866\/\",\"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":"A Man in Checkered Shirt Holding Red Chili Peppers","author":"daejeung","organization":"Pexels","url":"https:\/\/www.pexels.com\/photo\/a-man-in-checkered-shirt-holding-red-chili-peppers-14769866\/","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\/4421"}],"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\/4421\/revisions"}],"predecessor-version":[{"id":15616,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4421\/revisions\/15616"}],"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\/4421\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/media?parent=4421"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapter-type?post=4421"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/contributor?post=4421"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/license?post=4421"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}