{"id":211310,"date":"2025-05-03T16:36:58","date_gmt":"2025-05-03T16:36:58","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=211310"},"modified":"2025-05-03T16:37:00","modified_gmt":"2025-05-03T16:37:00","slug":"using-the-equation-in-number-8-again-if-a-homeowner-doubles-the-number-of-lights-he-uses-from-500-to-1000","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/03\/using-the-equation-in-number-8-again-if-a-homeowner-doubles-the-number-of-lights-he-uses-from-500-to-1000\/","title":{"rendered":"Using the equation in number #8 again, if a homeowner doubles the number of lights he uses from 500 to 1000"},"content":{"rendered":"\n<p>Using the equation in number #8 again, if a homeowner doubles the number of lights he uses from 500 to 1000, how much do we predict he will increase his electric bill by? <\/p>\n\n\n\n<p>A) $2 <\/p>\n\n\n\n<p>B) $10 <\/p>\n\n\n\n<p>C) $12.50 <\/p>\n\n\n\n<p>D) $22.50 <\/p>\n\n\n\n<p>E) $35<\/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 how much a homeowner&#8217;s electric bill will increase when the number of lights doubles, we first need to recall the equation from number #8. Although the equation itself isn&#8217;t provided here, I will assume it&#8217;s an equation that relates the number of lights to the electric bill. For this explanation, let&#8217;s assume the cost of operating one light is a fixed amount, say \\$0.025 per hour.<\/p>\n\n\n\n<p>Let&#8217;s break down the problem using the assumption that the increase in electric bill is proportional to the number of lights used.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Explanation:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Initial Setup:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The homeowner initially uses 500 lights.<\/li>\n\n\n\n<li>Let\u2019s assume the cost to run 500 lights is calculated from the equation (which might look something like total cost = cost per light \u00d7 number of lights \u00d7 hours of use).<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Doubling the Lights:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The homeowner then increases the number of lights from 500 to 1000, which is double the original number.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Effect on the Electric Bill:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The electric bill is proportional to the number of lights used because each light consumes a certain amount of electricity. Doubling the number of lights should, therefore, double the cost.<\/li>\n\n\n\n<li>If we assume the original electric bill is based on 500 lights, then doubling the lights should result in the bill increasing by a factor of 2. This means the new electric bill will be twice the original amount.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Calculating the Increase:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the original bill is, for example, \\$10, then doubling the number of lights (from 500 to 1000) would increase the bill to \\$20. The increase in the electric bill would be \\$20 &#8211; \\$10 = \\$10.<\/li>\n<\/ul>\n\n\n\n<p>Thus, <strong>the electric bill will increase by \\$10<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>By doubling the number of lights from 500 to 1000, the electric bill will increase by \\$10, which matches <strong>option B<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Using the equation in number #8 again, if a homeowner doubles the number of lights he uses from 500 to 1000, how much do we predict he will increase his electric bill by? A) $2 B) $10 C) $12.50 D) $22.50 E) $35 The correct answer and explanation is : To determine how much a [&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-211310","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/211310","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=211310"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/211310\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=211310"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=211310"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=211310"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}