{"id":250667,"date":"2025-07-10T11:33:19","date_gmt":"2025-07-10T11:33:19","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=250667"},"modified":"2025-07-10T11:33:21","modified_gmt":"2025-07-10T11:33:21","slug":"lindys-taxi-charges-a-fee-of-1-50-per-mile","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/10\/lindys-taxi-charges-a-fee-of-1-50-per-mile\/","title":{"rendered":"Lindy&#8217;s Taxi charges a fee of\u00a01.50 per mile"},"content":{"rendered":"\n<pre id=\"preorder-ask-header-text\" class=\"wp-block-preformatted\">Lindy's Taxi charges a fee of&nbsp;1.50 per mile<\/pre>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-373.png\" alt=\"\" class=\"wp-image-250668\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is&nbsp;<strong>30 miles<\/strong>.<\/p>\n\n\n\n<p>To determine the number of miles at which the cost for both taxi companies is the same, we can set up an algebraic equation for each company&#8217;s pricing structure. Let &#8216;m&#8217; represent the number of miles traveled.<\/p>\n\n\n\n<p>First, we will formulate the cost equation for Lindy&#8217;s Taxi. The company charges a fixed fee of $25 plus $1.50 for every mile. The total cost for a ride with Lindy&#8217;s Taxi can be expressed as:<br>Cost for Lindy&#8217;s = 25 + 1.50m<\/p>\n\n\n\n<p>Next, we will create the cost equation for Checker Taxi. This company has a fixed fee of $40 plus $1.00 for every mile. The total cost for a ride with Checker Taxi is represented by the equation:<br>Cost for Checker = 40 + 1.00m<\/p>\n\n\n\n<p>The problem asks for the point where the costs are equal. To find this, we set the two equations equal to each other:<br>25 + 1.50m = 40 + 1.00m<\/p>\n\n\n\n<p>Now, we need to solve this equation for &#8216;m&#8217;. We can begin by consolidating the terms with &#8216;m&#8217; on one side of the equation. By subtracting 1.00m from both sides, we get:<br>25 + 0.50m = 40<\/p>\n\n\n\n<p>Next, we isolate the term containing &#8216;m&#8217; by moving the constant numbers to the other side. We can subtract 25 from both sides of the equation:<br>0.50m = 40 &#8211; 25<br>0.50m = 15<\/p>\n\n\n\n<p>Finally, to solve for &#8216;m&#8217;, we divide both sides by 0.50:<br>m = 15 \/ 0.50<br>m = 30<\/p>\n\n\n\n<p>Thus, at 30 miles, the cost for both taxi companies will be identical. We can verify this by calculating the total cost for each company at 30 miles.<br>For Lindy&#8217;s Taxi:&nbsp;<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>25+(25+(<\/code><\/pre>\n\n\n\n<p>1.50 \u00d7 30) = $25 + $45 = $70.<br>For Checker Taxi:&nbsp;<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>40+(40+(<\/code><\/pre>\n\n\n\n<p>1.00 \u00d7 30) = $40 + $30 = $70.<br>Since both totals are $70, the answer of 30 miles is correct.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-141.jpeg\" alt=\"\" class=\"wp-image-250669\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Lindy&#8217;s Taxi charges a fee of&nbsp;1.50 per mile The Correct Answer and Explanation is: The correct answer is&nbsp;30 miles. To determine the number of miles at which the cost for both taxi companies is the same, we can set up an algebraic equation for each company&#8217;s pricing structure. Let &#8216;m&#8217; represent the number of miles [&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-250667","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/250667","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=250667"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/250667\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=250667"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=250667"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=250667"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}