{"id":186337,"date":"2025-01-24T18:37:07","date_gmt":"2025-01-24T18:37:07","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=186337"},"modified":"2025-01-24T18:37:09","modified_gmt":"2025-01-24T18:37:09","slug":"a-store-buys-a-jacket-for-20-00-and-then-sells-it-to-customers-for-80-more-than-that-what-is-the-selling-price-of-the-jacket","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/24\/a-store-buys-a-jacket-for-20-00-and-then-sells-it-to-customers-for-80-more-than-that-what-is-the-selling-price-of-the-jacket\/","title":{"rendered":"A store buys a jacket for $20.00 and then sells it to customers for 80% more than that. What is the selling price of the jacket"},"content":{"rendered":"\n
    \n
  1. A store buys a jacket for $20.00 and then sells it to customers for 80% more than that. What is the selling price of the jacket?<\/li>\n<\/ol>\n\n\n\n

    a. $16.00<\/p>\n\n\n\n

    b. $24.00<\/p>\n\n\n\n

    c. $28.00<\/p>\n\n\n\n

    d. $36.00<\/p>\n\n\n\n

      \n
    1. Eva draws a line that includes the points (2,0) and (-2,2). Which function gives all the points (x,y) on this line? y=-(1)\/(2)x+1 y=-2x+1,y=2x-1<\/li>\n<\/ol>\n\n\n\n

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

      Question 1:<\/p>\n\n\n\n

      The store buys the jacket for $20.00 and sells it for 80% more<\/strong> than the cost price.<\/p>\n\n\n\n

      To calculate the selling price:<\/p>\n\n\n\n

        \n
      1. Find 80% of $20.00:
        20.00\u00d70.80=16.0020.00 \\times 0.80 = 16.00<\/li>\n\n\n\n
      2. Add this to the cost price:
        20.00+16.00=36.0020.00 + 16.00 = 36.00<\/li>\n<\/ol>\n\n\n\n

        Answer: d. $36.00<\/strong><\/p>\n\n\n\n

        \n\n\n\n

        Question 2:<\/h3>\n\n\n\n

        Eva draws a line that passes through the points (2, 0) and (-2, 2). To find the equation of this line:<\/p>\n\n\n\n

          \n
        1. Calculate the slope (m):<\/strong> The formula for slope is: m=y2\u2212y1x2\u2212x1m = \\frac{y_2 – y_1}{x_2 – x_1} Using the points (\u22122,2)(-2, 2) and (2,0)(2, 0): m=2\u22120\u22122\u22122=2\u22124=\u221212m = \\frac{2 – 0}{-2 – 2} = \\frac{2}{-4} = -\\frac{1}{2}<\/li>\n\n\n\n
        2. Find the y-intercept (b):<\/strong> Use the slope-intercept form of a line: y=mx+by = mx + b Substitute one point, say (2,0)(2, 0), and m=\u221212m = -\\frac{1}{2}: 0=\u221212(2)+b\u2005\u200a\u27f9\u2005\u200a0=\u22121+b\u2005\u200a\u27f9\u2005\u200ab=10 = -\\frac{1}{2}(2) + b \\implies 0 = -1 + b \\implies b = 1<\/li>\n\n\n\n
        3. Write the equation:<\/strong> Substituting m=\u221212m = -\\frac{1}{2} and b=1b = 1, the equation of the line is: y=\u221212x+1y = -\\frac{1}{2}x + 1<\/li>\n<\/ol>\n\n\n\n

          Answer: y=\u221212x+1y = -\\frac{1}{2}x + 1<\/strong><\/p>\n\n\n\n

          \n\n\n\n

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

          The function y=\u221212x+1y = -\\frac{1}{2}x + 1 represents the line passing through the points (2, 0) and (-2, 2). To derive this, we first calculate the slope mm, which measures the steepness of the line and is found by dividing the change in yy-values by the change in xx-values. For the given points, the slope is \u221212-\\frac{1}{2}, indicating the line decreases as xx increases.<\/p>\n\n\n\n

          Next, the y-intercept bb is determined. It is the value of yy when x=0x = 0. Using one of the given points and solving for bb, we find it equals 1. The slope-intercept form y=mx+by = mx + b allows us to represent the relationship between xx and yy on the line.<\/p>\n\n\n\n

          Finally, the function y=\u221212x+1y = -\\frac{1}{2}x + 1 gives all the points on the line because any xx-coordinate substituted into this equation will yield the corresponding yy-coordinate. Verifying with the given points confirms the accuracy of this equation, as both (2,0)(2, 0) and (\u22122,2)(-2, 2) satisfy it.<\/p>\n","protected":false},"excerpt":{"rendered":"

          a. $16.00 b. $24.00 c. $28.00 d. $36.00 The correct answer and explanation is: Question 1: The store buys the jacket for $20.00 and sells it for 80% more than the cost price. To calculate the selling price: Answer: d. $36.00 Question 2: Eva draws a line that passes through the points (2, 0) and […]<\/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-186337","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/186337","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=186337"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/186337\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=186337"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=186337"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=186337"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}