{"id":182264,"date":"2025-01-13T14:39:10","date_gmt":"2025-01-13T14:39:10","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=182264"},"modified":"2025-01-13T14:39:12","modified_gmt":"2025-01-13T14:39:12","slug":"aaden-wants-to-get-a-subscription-to-an-online-library","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/13\/aaden-wants-to-get-a-subscription-to-an-online-library\/","title":{"rendered":"Aaden wants to get a subscription to an online library"},"content":{"rendered":"\n<p>Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed 96 dollar annual fee and the other which charges 3 dollars per book he borrows.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To determine which subscription is the most cost-effective, we need to compare the two options based on the number of books Aaden expects to borrow annually.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Subscription Option 1: Fixed Annual Fee<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>This subscription charges a <strong>fixed $96 annual fee<\/strong>.<\/li>\n\n\n\n<li>Regardless of how many books Aaden borrows, he will always pay $96 per year.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Subscription Option 2: Pay-Per-Book<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>This subscription charges <strong>$3 per book borrowed<\/strong>.<\/li>\n\n\n\n<li>If Aaden borrows xx books, the total cost would be 3x3x dollars.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Finding the Break-Even Point<\/h3>\n\n\n\n<p>To find when the costs of the two options are equal, we set the total costs equal to each other: 96=3&#215;96 = 3x<\/p>\n\n\n\n<p>Solving for xx: x=963=32x = \\frac{96}{3} = 32<\/p>\n\n\n\n<p>This means that if Aaden borrows <strong>32 books<\/strong> in a year, both subscriptions will cost the same amount \u2014 $96.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Comparing the Costs for Different Numbers of Books<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>If Aaden borrows fewer than 32 books<\/strong>:\n<ul class=\"wp-block-list\">\n<li>The <strong>fixed annual fee<\/strong> subscription will still cost $96.<\/li>\n\n\n\n<li>The <strong>pay-per-book<\/strong> option will cost 3x3x dollars, where xx is the number of books borrowed. For example, if Aaden borrows 10 books, the cost would be 3\u00d710=303 \\times 10 = 30 dollars.<\/li>\n\n\n\n<li>In this case, the <strong>pay-per-book<\/strong> option is cheaper.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>If Aaden borrows more than 32 books<\/strong>:\n<ul class=\"wp-block-list\">\n<li>The <strong>pay-per-book<\/strong> option will cost more than $96. For instance, if Aaden borrows 50 books, the cost would be 3\u00d750=1503 \\times 50 = 150 dollars.<\/li>\n\n\n\n<li>In this case, the <strong>fixed annual fee<\/strong> option becomes cheaper.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If Aaden borrows <strong>32 or more books<\/strong> per year, the <strong>fixed annual fee<\/strong> subscription is the better option because it costs $96.<\/li>\n\n\n\n<li>If Aaden borrows <strong>fewer than 32 books<\/strong>, the <strong>pay-per-book<\/strong> subscription is cheaper because it costs less than the $96 fixed fee.<\/li>\n<\/ul>\n\n\n\n<p>Thus, the choice depends on how many books Aaden expects to borrow in a year.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed 96 dollar annual fee and the other which charges 3 dollars per book he borrows. The Correct Answer and Explanation is : To determine which subscription is the most cost-effective, we need to compare [&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-182264","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182264","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=182264"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182264\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=182264"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=182264"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=182264"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}