{"id":272012,"date":"2025-07-26T09:15:46","date_gmt":"2025-07-26T09:15:46","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=272012"},"modified":"2025-07-26T09:15:48","modified_gmt":"2025-07-26T09:15:48","slug":"a-land-conservation-trust-has-an-initial-area-of-720-acres","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/26\/a-land-conservation-trust-has-an-initial-area-of-720-acres\/","title":{"rendered":"A land conservation trust has an initial area of 720 acres"},"content":{"rendered":"\n<p>A land conservation trust has an initial area of 720 acres. The growth plan will add 84 acres of land to the trust each year. If a function is written in the form f(x) = ax + b, where f(x) represents the number of acres of land in the trust and x repre-sents the number of months that have passed, what is the value of x when f(x) = 1, 126<br>A 4.83<br>B 13.4<br>C 58<br>D 406<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve this problem, we first need to identify the values for the function in the form f(x)=ax+bf(x) = ax + b. Here, f(x)f(x) represents the number of acres of land in the trust, and xx represents the number of months that have passed.<\/p>\n\n\n\n<p><strong>Step 1: Understanding the problem.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The trust starts with an initial area of 720 acres. This means when x=0x = 0 (the starting point), the number of acres is 720. Therefore, b=720b = 720.<\/li>\n\n\n\n<li>Each year, the trust adds 84 acres of land. Since there are 12 months in a year, this means the trust adds 8412=7\\frac{84}{12} = 7 acres per month. Therefore, a=7a = 7.<\/li>\n<\/ul>\n\n\n\n<p>Thus, the function can be written as: f(x)=7x+720f(x) = 7x + 720<\/p>\n\n\n\n<p><strong>Step 2: Solve for xx when f(x)=1,126f(x) = 1,126.<\/strong><\/p>\n\n\n\n<p>We are asked to find xx when the number of acres reaches 1,126. So, substitute f(x)=1,126f(x) = 1,126 into the equation: 1,126=7x+7201,126 = 7x + 720<\/p>\n\n\n\n<p><strong>Step 3: Solve for xx.<\/strong><\/p>\n\n\n\n<p>First, subtract 720 from both sides: 1,126\u2212720=7&#215;1,126 &#8211; 720 = 7x 406=7&#215;406 = 7x<\/p>\n\n\n\n<p>Now, divide both sides by 7: x=4067=58x = \\frac{406}{7} = 58<\/p>\n\n\n\n<p><strong>Conclusion:<\/strong><\/p>\n\n\n\n<p>The value of xx when the trust has 1,126 acres is 58 months.<\/p>\n\n\n\n<p>Thus, the correct answer is <strong>C: 58<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A land conservation trust has an initial area of 720 acres. The growth plan will add 84 acres of land to the trust each year. If a function is written in the form f(x) = ax + b, where f(x) represents the number of acres of land in the trust and x repre-sents the number [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-272012","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/272012","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=272012"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/272012\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=272012"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=272012"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=272012"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}