{"id":8144,"date":"2023-09-20T17:50:24","date_gmt":"2023-09-20T17:50:24","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&#038;p=8144"},"modified":"2025-08-28T04:37:12","modified_gmt":"2025-08-28T04:37:12","slug":"more-on-linear-functions-apply-it","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/more-on-linear-functions-apply-it\/","title":{"raw":"More on Linear Functions: Apply It 1","rendered":"More on Linear Functions: Apply It 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Create and interpret equations of linear functions<\/li>\r\n\t<li>Use linear functions to model and draw conclusions from real-world problems<\/li>\r\n\t<li>Plot the graphs of linear equations<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Urban Expansion: Charting Growth with Linear Functions<\/h2>\r\n<p>Samir, a city development coordinator, is tasked with planning the expansion of urban services to accommodate the city's growing population. He uses linear functions to model and predict various aspects of urban growth and infrastructure needs.<\/p>\r\n<center>\r\n[caption id=\"attachment_10453\" align=\"aligncenter\" width=\"500\"]<img class=\"wp-image-10453\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/07195951\/shai-pal-bGphNIzQ5OA-unsplash-1.jpg\" alt=\"An aerial image of a city\" width=\"500\" height=\"375\" \/> Figure 1. Help Samir use linear functions to model and predict urban growth and infrastructure needs[\/caption]\r\n<\/center>\r\n<p>&nbsp;<\/p>\r\n<p>Samir examines the city's population data over the past decade and notices a steady increase. He decides to model this growth with a linear function.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]13875[\/ohm2_question]<\/section>\r\n<p>Understanding the rate of change in population helps Samir and city planners anticipate future needs. Using the population model, Samir predicts future demand for city services, such as waste management and water supply.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]13876[\/ohm2_question]<\/section>\r\n<p>Accurate predictions ensure that the city allocates resources efficiently, avoiding both shortages and wasteful overspending. To present his findings to the city council, Samir decides to graph the population growth equation. A visual representation of data can often make complex information more accessible and actionable for decision-makers.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]13877[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Create and interpret equations of linear functions<\/li>\n<li>Use linear functions to model and draw conclusions from real-world problems<\/li>\n<li>Plot the graphs of linear equations<\/li>\n<\/ul>\n<\/section>\n<h2>Urban Expansion: Charting Growth with Linear Functions<\/h2>\n<p>Samir, a city development coordinator, is tasked with planning the expansion of urban services to accommodate the city&#8217;s growing population. He uses linear functions to model and predict various aspects of urban growth and infrastructure needs.<\/p>\n<div style=\"text-align: center;\">\n<figure id=\"attachment_10453\" aria-describedby=\"caption-attachment-10453\" style=\"width: 500px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-10453\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/07195951\/shai-pal-bGphNIzQ5OA-unsplash-1.jpg\" alt=\"An aerial image of a city\" width=\"500\" height=\"375\" srcset=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/07195951\/shai-pal-bGphNIzQ5OA-unsplash-1.jpg 1597w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/07195951\/shai-pal-bGphNIzQ5OA-unsplash-1-300x225.jpg 300w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/07195951\/shai-pal-bGphNIzQ5OA-unsplash-1-1024x768.jpg 1024w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/07195951\/shai-pal-bGphNIzQ5OA-unsplash-1-768x576.jpg 768w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/07195951\/shai-pal-bGphNIzQ5OA-unsplash-1-1536x1151.jpg 1536w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/07195951\/shai-pal-bGphNIzQ5OA-unsplash-1-1200x899.jpg 1200w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/07195951\/shai-pal-bGphNIzQ5OA-unsplash-1-65x49.jpg 65w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/07195951\/shai-pal-bGphNIzQ5OA-unsplash-1-225x169.jpg 225w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/07195951\/shai-pal-bGphNIzQ5OA-unsplash-1-350x262.jpg 350w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><figcaption id=\"caption-attachment-10453\" class=\"wp-caption-text\">Figure 1. Help Samir use linear functions to model and predict urban growth and infrastructure needs<\/figcaption><\/figure>\n<\/div>\n<p>&nbsp;<\/p>\n<p>Samir examines the city&#8217;s population data over the past decade and notices a steady increase. He decides to model this growth with a linear function.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm13875\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=13875&theme=lumen&iframe_resize_id=ohm13875&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>Understanding the rate of change in population helps Samir and city planners anticipate future needs. Using the population model, Samir predicts future demand for city services, such as waste management and water supply.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm13876\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=13876&theme=lumen&iframe_resize_id=ohm13876&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>Accurate predictions ensure that the city allocates resources efficiently, avoiding both shortages and wasteful overspending. To present his findings to the city council, Samir decides to graph the population growth equation. A visual representation of data can often make complex information more accessible and actionable for decision-makers.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm13877\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=13877&theme=lumen&iframe_resize_id=ohm13877&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":15,"menu_order":27,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"high-angle-view-of-city\",\"author\":\"Shai Pal\",\"organization\":\"Unsplash\",\"url\":\"https:\/\/unsplash.com\/photos\/high-angle-view-of-city-bGphNIzQ5OA\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"}]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":72,"module-header":"apply_it","content_attributions":[{"type":"cc-attribution","description":"high-angle-view-of-city","author":"Shai Pal","organization":"Unsplash","url":"https:\/\/unsplash.com\/photos\/high-angle-view-of-city-bGphNIzQ5OA","project":"","license":"cc-by-sa","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\/8144"}],"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\/15"}],"version-history":[{"count":14,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/8144\/revisions"}],"predecessor-version":[{"id":15848,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/8144\/revisions\/15848"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/parts\/72"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/8144\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/media?parent=8144"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapter-type?post=8144"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/contributor?post=8144"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/license?post=8144"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}