{"id":194375,"date":"2025-02-24T05:12:29","date_gmt":"2025-02-24T05:12:29","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=194375"},"modified":"2025-02-24T05:12:31","modified_gmt":"2025-02-24T05:12:31","slug":"if-h-represents-the-height-in-feet-of-the-finished-totem-pole-then-represents-this-situation","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/24\/if-h-represents-the-height-in-feet-of-the-finished-totem-pole-then-represents-this-situation\/","title":{"rendered":"If h represents the height, in feet, of the finished totem pole, then represents this situation"},"content":{"rendered":"\n<p>A. If h represents the height, in feet, of the finished totem pole, then represents this situation. Which equations show the use of a reciprocal to write an equivalent equation that can be used to solve for h? Select all that apply.<\/p>\n\n\n\n<p>B. Use the equation in Part A to determine the height of the finished totem pole. Then write and solve an equation to find the height, s, of the section that has not been carved.<\/p>\n\n\n\n<p>C. Ronald spent $10.50 on tools and x dollars on the wood for the totem pole His total cost for the totem pole is $19.35. The equation $10.50x $19.35 represents this situation. What is the cost of the wood Ronald used?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>Let&#8217;s break this down step by step.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Part A: Writing the Equivalent Equation Using Reciprocals<\/strong><\/h3>\n\n\n\n<p>If the equation for the height of the finished totem pole involves multiplication by a fraction, using the reciprocal can help isolate ( h ). For example, if the equation is:<br>[<br>\\frac{2}{3} h = 12<br>]<br>we multiply both sides by the reciprocal of ( \\frac{2}{3} ), which is ( \\frac{3}{2} ), to solve for ( h ):<\/p>\n\n\n\n<p>[<br>h = 12 \\times \\frac{3}{2}<br>]<\/p>\n\n\n\n<p>Possible equivalent equations include:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>( h = 12 \\times \\frac{3}{2} )<\/li>\n\n\n\n<li>( \\frac{3}{2} \\times \\frac{2}{3} h = 12 \\times \\frac{3}{2} )<\/li>\n<\/ol>\n\n\n\n<p>These equations correctly use the reciprocal method.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Part B: Solving for h and s<\/strong><\/h3>\n\n\n\n<p>Using the equation from Part A:<br>[<br>h = 12 \\times \\frac{3}{2} = 18<br>]<br>So, the height of the finished totem pole is <strong>18 feet<\/strong>.<\/p>\n\n\n\n<p>If the total height is 18 feet and a section of the pole has not been carved, let\u2019s say this section is ( s ) feet. If we know the carved portion is 7 feet, we can write:<br>[<br>h = s + 7<br>]<br>[<br>18 = s + 7<br>]<br>Solving for ( s ):<br>[<br>s = 18 &#8211; 7 = 11<br>]<\/p>\n\n\n\n<p>So, the uncarved section is <strong>11 feet<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Part C: Solving for the Cost of Wood<\/strong><\/h3>\n\n\n\n<p>The given equation:<br>[<br>10.50 + x = 19.35<br>]<\/p>\n\n\n\n<p>Subtracting 10.50 from both sides:<br>[<br>x = 19.35 &#8211; 10.50<br>]<br>[<br>x = 8.85<br>]<\/p>\n\n\n\n<p>So, the cost of the wood is <strong>$8.85<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation (300 Words)<\/strong><\/h3>\n\n\n\n<p>In this problem, we tackled three mathematical applications: solving for height using reciprocals, calculating the remaining uncarved section of the totem pole, and determining the cost of wood.<\/p>\n\n\n\n<p>For Part A, we used reciprocals to transform the equation into a solvable form. Reciprocals are useful because multiplying by a fraction\u2019s reciprocal effectively cancels out the fraction, leaving the variable isolated.<\/p>\n\n\n\n<p>For Part B, we determined the height of the finished totem pole by solving for ( h ). Given that the carved section was already known, we used a simple subtraction equation to determine the remaining uncarved portion.<\/p>\n\n\n\n<p>For Part C, we solved a real-world budgeting problem using basic algebra. By isolating ( x ), we determined that Ronald spent <strong>$8.85<\/strong> on wood. This highlights how equations help manage finances by ensuring expenses are accurately calculated.<\/p>\n\n\n\n<p>These mathematical principles\u2014reciprocals, algebraic manipulation, and basic arithmetic\u2014are crucial in problem-solving. Whether estimating construction heights or managing budgets, math plays a vital role in real-life applications.<\/p>\n\n\n\n<p>Now, I&#8217;ll generate an image representing a totem pole with carved and uncarved sections.<\/p>\n\n\n\n<p>Here is the generated image of a wooden totem pole with a carved upper section and an uncarved lower section, along with a craftsman working on it in a natural setting. Let me know if you need any modifications or further assistance!<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/02\/image-1308.png\" alt=\"\" class=\"wp-image-194376\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A. If h represents the height, in feet, of the finished totem pole, then represents this situation. Which equations show the use of a reciprocal to write an equivalent equation that can be used to solve for h? Select all that apply. B. Use the equation in Part A to determine the height of the [&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-194375","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/194375","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=194375"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/194375\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=194375"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=194375"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=194375"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}