{"id":228346,"date":"2025-06-07T08:18:37","date_gmt":"2025-06-07T08:18:37","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=228346"},"modified":"2025-06-07T08:18:39","modified_gmt":"2025-06-07T08:18:39","slug":"which-graph-represents-a-bike-traveling-at-a-constant-rate-of-12-miles-per-hour","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/07\/which-graph-represents-a-bike-traveling-at-a-constant-rate-of-12-miles-per-hour\/","title":{"rendered":"Which graph represents a bike traveling at a constant rate of 12 miles per hour"},"content":{"rendered":"\n

Which graph represents a bike traveling at a constant rate of 12 miles per hour<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

\u2705 Correct Answer:<\/strong><\/h3>\n\n\n\n

A straight line graph<\/strong> that starts at the origin (0,0) and has a constant positive slope<\/strong> represents a bike traveling at a constant rate<\/strong>. The slope<\/strong> of the line should be 12<\/strong>, since the bike is traveling 12 miles for every hour<\/strong>.<\/p>\n\n\n\n

\n\n\n\n

\ud83d\udcc8 Explanation <\/strong><\/h3>\n\n\n\n

To determine which graph shows a bike traveling at a constant rate of 12 miles per hour, let\u2019s recall what a distance-time graph<\/strong> looks like for constant speed.<\/p>\n\n\n\n

In such a graph:<\/p>\n\n\n\n

    \n
  • The horizontal axis (x-axis)<\/strong> represents time<\/strong> (in hours),<\/li>\n\n\n\n
  • The vertical axis (y-axis)<\/strong> represents distance<\/strong> (in miles).<\/li>\n<\/ul>\n\n\n\n

    A constant speed<\/strong> means that for every unit of time, the same amount of distance is covered. This is shown on a graph as a straight line<\/strong> because the rate of change (slope) doesn\u2019t vary. The formula to represent this relationship is:Distance=Rate\u00d7Time\\text{Distance} = \\text{Rate} \\times \\text{Time}Distance=Rate\u00d7Time<\/p>\n\n\n\n

    Given the rate is 12 miles per hour<\/strong>, the equation becomes:y=12xy = 12xy=12x<\/p>\n\n\n\n

    This is a linear equation with:<\/p>\n\n\n\n

      \n
    • A slope<\/strong> of 12,<\/li>\n\n\n\n
    • A y-intercept<\/strong> of 0 (since at time 0, the distance is also 0).<\/li>\n<\/ul>\n\n\n\n

      So, every hour, the distance increases by 12 miles:<\/p>\n\n\n\n

        \n
      • At 1 hour: 12 miles<\/li>\n\n\n\n
      • At 2 hours: 24 miles<\/li>\n\n\n\n
      • At 3 hours: 36 miles<\/li>\n\n\n\n
      • And so on…<\/li>\n<\/ul>\n\n\n\n

        Any graph that shows a straight line through the origin with these points plotted will correctly represent a constant speed of 12 mph.<\/p>\n\n\n\n

        Common wrong answers<\/strong> may include:<\/p>\n\n\n\n

          \n
        • A curved line (suggests changing speed),<\/li>\n\n\n\n
        • A flat line (suggests no movement),<\/li>\n\n\n\n
        • A line that doesn\u2019t pass through the origin (implies starting with distance, not realistic for this context).<\/li>\n<\/ul>\n\n\n\n

          Therefore, the correct graph<\/strong> is a straight line through the origin with a slope of 12<\/strong>.<\/p>\n\n\n\n

          \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

          Which graph represents a bike traveling at a constant rate of 12 miles per hour The Correct Answer and Explanation is: \u2705 Correct Answer: A straight line graph that starts at the origin (0,0) and has a constant positive slope represents a bike traveling at a constant rate. The slope of the line should be […]<\/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-228346","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228346","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=228346"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228346\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=228346"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=228346"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=228346"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}