{"id":274252,"date":"2025-07-28T07:18:00","date_gmt":"2025-07-28T07:18:00","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=274252"},"modified":"2025-07-28T07:18:02","modified_gmt":"2025-07-28T07:18:02","slug":"fwam-took-a-taxi-from-his-house-to-the-airport","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/28\/fwam-took-a-taxi-from-his-house-to-the-airport\/","title":{"rendered":"Fwam took a taxi from his house to the airport"},"content":{"rendered":"\n

Fwam took a taxi from his house to the airport. The taxi company charged a pick-up fee of $3. 80 plus $2. 25 per mile. The total fare was $33. 05, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.<\/p>\n\n\n\n

The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Let m<\/strong> represent the number of miles in the taxi ride. The total fare consists of two parts:<\/p>\n\n\n\n

    \n
  1. A fixed pick-up fee<\/strong> of $3.80.<\/li>\n\n\n\n
  2. A variable fee that depends on the number of miles traveled, which is $2.25 per mile<\/strong>.<\/li>\n<\/ol>\n\n\n\n

    Thus, the total fare can be represented by the equation: 3.80+2.25m=33.053.80 + 2.25m = 33.05<\/p>\n\n\n\n

    Where:<\/p>\n\n\n\n

      \n
    • 3.80<\/strong> is the pick-up fee,<\/li>\n\n\n\n
    • 2.25m<\/strong> is the variable charge based on the miles traveled, and<\/li>\n\n\n\n
    • 33.05<\/strong> is the total fare.<\/li>\n<\/ul>\n\n\n\n

      To solve for m<\/strong>, follow these steps:<\/p>\n\n\n\n

        \n
      1. Subtract the pick-up fee from both sides of the equation:<\/li>\n<\/ol>\n\n\n\n

        2.25m=33.05\u22123.802.25m = 33.05 – 3.80 2.25m=29.252.25m = 29.25<\/p>\n\n\n\n

          \n
        1. Divide both sides of the equation by 2.25 to solve for m<\/strong>:<\/li>\n<\/ol>\n\n\n\n

          m=29.252.25m = \\frac{29.25}{2.25} m=13m = 13<\/p>\n\n\n\n

          Therefore, the number of miles in the taxi ride is 13 miles<\/strong>.<\/p>\n\n\n\n

          Explanation:<\/h3>\n\n\n\n

          The equation starts with the fixed cost of the ride and adds the cost per mile, resulting in the total fare. By isolating the variable m<\/strong>, we determine how many miles were traveled. In this case, after subtracting the fixed fee from the total, dividing by the cost per mile gives us the total number of miles.<\/p>\n","protected":false},"excerpt":{"rendered":"

          Fwam took a taxi from his house to the airport. The taxi company charged a pick-up fee of $3. 80 plus $2. 25 per mile. The total fare was $33. 05, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride. […]<\/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-274252","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/274252","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=274252"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/274252\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=274252"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=274252"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=274252"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}