{"id":120,"date":"2018-02-05T14:51:13","date_gmt":"2018-02-05T20:51:13","guid":{"rendered":"http:\/\/blogs.acu.edu\/mu_sigma\/?page_id=120"},"modified":"2018-02-20T10:05:26","modified_gmt":"2018-02-20T16:05:26","slug":"problem-of-the-week-problem-3-solution-february-5th-2017","status":"publish","type":"page","link":"https:\/\/blogs.acu.edu\/mu_sigma\/problem-of-the-week-problem-3-solution-february-5th-2017\/","title":{"rendered":"Problem of the Week &#8211; Problem 3 Solution &#8211; February 5th, 2017"},"content":{"rendered":"<p><span style=\"font-size: large\">Solution to <b>How Big Is Your Pizza?<\/b><\/span><\/p>\n<p><span style=\"font-size: small\">Correct solutions were submitted by: \u00a0<span style=\"text-decoration: underline\">none submitted<\/span><\/span><\/p>\n<p>Let <i>P<\/i> denote the radius of a large Pizza House pizza. \u00a0Let <i>D<\/i> denote the radius of a large Domingo&#8217;s pizza. \u00a0Let <i>J<\/i> denote the radius of a large Papa Jim&#8217;s pizza.<\/p>\n<p>Then (<i>pi<\/i>)<i>P<\/i><sup>2<\/sup> = 1.147 (<i>pi<\/i>)<i>D<\/i><sup>2<\/sup> and <i>P<\/i> = <i>J <\/i>+ 1\/2.<\/p>\n<p>We want to find the value of <i>P<\/i> when <i>D<\/i> = <i>J<\/i> so we can have a basis for comparison.\u00a0If <i>D<\/i> = <i>J<\/i>, then substitution of <i>P<\/i> &#8211; 1\/2 in for <i>D<\/i> in the first equation gives <i>P<\/i><sup>2<\/sup> = 1.147(<i>P<\/i>-1\/2)<sup>2<\/sup>. \u00a0Solving for <i>P<\/i> shows that <i>P<\/i> is approximately 7.544 inches. \u00a0It follows that if the radius of a large Pizza House pizza is less than 7.544 inches then Domingo&#8217;s large pizza is bigger, but if <i>P<\/i> is greater than 7.544 inches then Papa Jim&#8217;s large pizza is bigger.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution to How Big Is Your Pizza? Correct solutions were submitted by: \u00a0none submitted Let P denote the radius of a large Pizza House pizza. \u00a0Let D denote the radius of a large Domingo&#8217;s pizza. \u00a0Let J denote the radius of a large Papa Jim&#8217;s pizza. Then (pi)P2 = 1.147 (pi)D2 and P = J [&hellip;]<\/p>\n","protected":false},"author":130,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"class_list":["post-120","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/pages\/120","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/users\/130"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/comments?post=120"}],"version-history":[{"count":2,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/pages\/120\/revisions"}],"predecessor-version":[{"id":137,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/pages\/120\/revisions\/137"}],"wp:attachment":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/media?parent=120"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}