{"id":229391,"date":"2025-06-08T06:52:24","date_gmt":"2025-06-08T06:52:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=229391"},"modified":"2025-06-08T06:52:26","modified_gmt":"2025-06-08T06:52:26","slug":"which-graph-represents-viable-values-for-y-2x","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/08\/which-graph-represents-viable-values-for-y-2x\/","title":{"rendered":"Which graph represents viable values for y = 2X"},"content":{"rendered":"\n<p>Which graph represents viable values for y = 2X, Where x is the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and y is the total cost of lhe rice? Save and Exit suul Nuubi; ulelun Nenr<\/p>\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>To determine which graph represents viable values for the equation <strong>y = 2x<\/strong>, where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>x<\/strong> is the number of pounds of rice scooped and purchased from a bulk bin, and<\/li>\n\n\n\n<li><strong>y<\/strong> is the <strong>total cost<\/strong> of the rice in dollars,<\/li>\n<\/ul>\n\n\n\n<p>we can break down what this relationship means and describe what the <strong>correct graph<\/strong> should look like.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udd0d <strong>Understanding the Equation:<\/strong><\/h3>\n\n\n\n<p>The equation <strong>y = 2x<\/strong> tells us that:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For every 1 pound of rice, the cost is <strong>$2<\/strong>.<\/li>\n\n\n\n<li>This is a linear relationship where the <strong>cost increases proportionally<\/strong> with the number of pounds.<\/li>\n\n\n\n<li>The <strong>slope<\/strong> of the line is <strong>2<\/strong>, meaning the price increases by $2 for each additional pound.<\/li>\n\n\n\n<li>The <strong>y-intercept<\/strong> is 0, because if you scoop <strong>0 pounds<\/strong>, the total cost is <strong>$0<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 <strong>Key Characteristics of the Correct Graph:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>It is a <strong>straight line<\/strong> that starts at the <strong>origin (0, 0)<\/strong>.<\/li>\n\n\n\n<li>The line rises steadily, with a <strong>slope of 2<\/strong> (for every 1 unit increase in x, y increases by 2).<\/li>\n\n\n\n<li>The graph only makes sense in <strong>Quadrant I<\/strong> (where both x and y are <strong>positive<\/strong>), since you cannot scoop a negative amount of rice or pay a negative amount of money.<\/li>\n\n\n\n<li>The x-axis represents <strong>pounds of rice<\/strong> (must be \u2265 0), and the y-axis represents <strong>total cost<\/strong> (must be \u2265 0).<\/li>\n\n\n\n<li>The domain and range are both <strong>non-negative real numbers<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u274c <strong>What to Avoid in the Graph:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Any line that <strong>doesn\u2019t start at (0, 0)<\/strong>.<\/li>\n\n\n\n<li>A graph that <strong>curves<\/strong> instead of forming a straight line.<\/li>\n\n\n\n<li>A line that goes <strong>downward<\/strong> (which would indicate a negative slope or decreasing price with more rice).<\/li>\n\n\n\n<li>Points in the <strong>negative x or y direction<\/strong>, which are <strong>not viable<\/strong> in this real-world context.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 <strong>Conclusion:<\/strong><\/h3>\n\n\n\n<p>The <strong>correct graph<\/strong> will be a <strong>straight line starting at (0, 0)<\/strong> with a slope of <strong>2<\/strong>, located in the <strong>first quadrant only<\/strong>, showing a constant price of $2 per pound of rice.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner10-23.jpeg\" alt=\"\" class=\"wp-image-229392\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Which graph represents viable values for y = 2X, Where x is the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and y is the total cost of lhe rice? Save and Exit suul Nuubi; ulelun Nenr The Correct Answer and Explanation is: To determine which graph [&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-229391","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229391","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=229391"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229391\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=229391"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=229391"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=229391"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}