{"id":180096,"date":"2025-01-03T16:56:24","date_gmt":"2025-01-03T16:56:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=180096"},"modified":"2025-01-03T16:56:26","modified_gmt":"2025-01-03T16:56:26","slug":"a-hip-hop-dance-group-pays-an-hourly-fee-to-rent-a-practice-room-one-month","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/03\/a-hip-hop-dance-group-pays-an-hourly-fee-to-rent-a-practice-room-one-month\/","title":{"rendered":"A hip -hop dance group pays an hourly fee to rent a practice room One month"},"content":{"rendered":"\n
    \n
  1. A hip -hop dance group pays an hourly fee to rent a practice room. One month, they spend $1,232.25 to rent the room for 15.5 hours. What is the fee to rent the room for 1 hour?<\/li>\n\n\n\n
  2. Complete the sentence or solve the problem.<\/li>\n<\/ol>\n\n\n\n

    a. When 0 < 1,=”” a=”” dilation=”” is=”” a(n)=””><\/p>\n\n\n\n

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

    Problem 1: Rent Fee Calculation<\/h3>\n\n\n\n

    We are given that a hip-hop dance group pays a total of $1,232.25 to rent a practice room for 15.5 hours. We need to determine the fee to rent the room for 1 hour.<\/p>\n\n\n\n

    To find the hourly rate, we divide the total cost by the number of hours rented: Hourly Fee=Total CostNumber of Hours=1232.2515.5\\text{Hourly Fee} = \\frac{\\text{Total Cost}}{\\text{Number of Hours}} = \\frac{1232.25}{15.5}<\/p>\n\n\n\n

    Calculating this: Hourly Fee=79.5\\text{Hourly Fee} = 79.5<\/p>\n\n\n\n

    So, the fee to rent the room for 1 hour is $79.50<\/strong>.<\/p>\n\n\n\n

    \n\n\n\n

    Problem 2: Dilation Description<\/h3>\n\n\n\n

    The second part of your query appears to relate to geometry, specifically dilation. Let’s break it down.<\/p>\n\n\n\n

    a. When 0<k<10 < k < 1, a dilation is a(n)<\/strong> reduction<\/strong>.<\/p>\n\n\n\n

    Explanation:<\/h4>\n\n\n\n

    In geometry, dilation refers to resizing a figure by a scale factor. A scale factor is a number that either enlarges or reduces the figure. It works in such a way that if the scale factor is greater than 1, the figure is enlarged (stretched). Conversely, if the scale factor is between 0 and 1 (i.e., 0<k<10 < k < 1), the figure is reduced (shrunk).<\/p>\n\n\n\n

      \n
    • Enlargement<\/strong>: If the scale factor k>1k > 1, every point in the figure moves farther from the center of dilation, making the image larger than the original. For example, if a scale factor of k=2k = 2 is used, the image is twice the size of the original.<\/li>\n\n\n\n
    • Reduction<\/strong>: If the scale factor 0<k<10 < k < 1, every point in the figure moves closer to the center of dilation, making the image smaller than the original. For example, if k=0.5k = 0.5, the image will be half the size of the original figure.<\/li>\n<\/ul>\n\n\n\n

      The key takeaway is that when the scale factor is between 0 and 1, the figure undergoes a reduction<\/strong>.<\/p>\n\n\n\n

      \n\n\n\n

      Let me know if you need further clarification or additional help!<\/p>\n","protected":false},"excerpt":{"rendered":"

      a. When 0 < 1,=”” a=”” dilation=”” is=”” a(n)=””> The correct answer and explanation is: Problem 1: Rent Fee Calculation We are given that a hip-hop dance group pays a total of $1,232.25 to rent a practice room for 15.5 hours. We need to determine the fee to rent the room for 1 hour. To […]<\/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-180096","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/180096","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=180096"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/180096\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=180096"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=180096"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=180096"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}