{"id":193048,"date":"2025-02-19T04:18:17","date_gmt":"2025-02-19T04:18:17","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=193048"},"modified":"2025-02-19T04:20:56","modified_gmt":"2025-02-19T04:20:56","slug":"cole-buys-a-new-laptop-for-335","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/19\/cole-buys-a-new-laptop-for-335\/","title":{"rendered":"Cole buys a new laptop for $335"},"content":{"rendered":"\n<p>Cole buys a new laptop for $335. ?He makes a down payment of $50 ?and pays the rest in six equal monthly payments, P. ?What equation represents the relationship between the cost of the laptop and coles payments?<\/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>The equation that represents the relationship between the cost of the laptop and Cole&#8217;s payments is:<\/p>\n\n\n\n<p>[<br>335 = 50 + 6P<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Let\u2019s break this down step-by-step.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Total Cost of the Laptop<\/strong>: The total cost of the laptop is $335. This is the amount Cole is paying for the laptop in total.<\/li>\n\n\n\n<li><strong>Down Payment<\/strong>: Cole makes a down payment of $50. This means that, upfront, he has already paid $50, and he will still need to pay the remainder of the cost through monthly payments.<\/li>\n\n\n\n<li><strong>Remaining Balance<\/strong>: After the down payment of $50, the remaining balance that Cole needs to pay is:<\/li>\n<\/ol>\n\n\n\n<p>[<br>335 &#8211; 50 = 285<br>]<\/p>\n\n\n\n<p>So, Cole still needs to pay $285 after the down payment.<\/p>\n\n\n\n<ol start=\"4\" class=\"wp-block-list\">\n<li><strong>Monthly Payments<\/strong>: Cole will pay off the remaining balance in six equal monthly payments. Let&#8217;s represent each of these payments as ( P ). The total of these six payments will cover the remaining balance of $285.<\/li>\n\n\n\n<li><strong>Total of Payments<\/strong>: The total of the six monthly payments is represented by:<\/li>\n<\/ol>\n\n\n\n<p>[<br>6P<br>]<\/p>\n\n\n\n<ol start=\"6\" class=\"wp-block-list\">\n<li><strong>Equation Setup<\/strong>: The total cost of the laptop, which is $335, is the sum of the down payment ($50) and the total of the six monthly payments (6P). Therefore, the equation becomes:<\/li>\n<\/ol>\n\n\n\n<p>[<br>335 = 50 + 6P<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solving for ( P ):<\/h3>\n\n\n\n<p>To find out the amount of each monthly payment, we can solve for ( P ).<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Subtract 50 from both sides:<\/li>\n<\/ol>\n\n\n\n<p>[<br>335 &#8211; 50 = 6P<br>]<br>[<br>285 = 6P<br>]<\/p>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li>Now, divide both sides by 6:<\/li>\n<\/ol>\n\n\n\n<p>[<br>P = \\frac{285}{6} = 47.5<br>]<\/p>\n\n\n\n<p>Thus, each monthly payment ( P ) is $47.50.<\/p>\n\n\n\n<p>This equation helps us understand how the total cost of the laptop is split between the down payment and the six equal monthly payments.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Cole buys a new laptop for $335. ?He makes a down payment of $50 ?and pays the rest in six equal monthly payments, P. ?What equation represents the relationship between the cost of the laptop and coles payments? The Correct Answer and Explanation is : The equation that represents the relationship between the cost of [&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-193048","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/193048","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=193048"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/193048\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=193048"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=193048"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=193048"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}