{"id":203,"date":"2023-06-21T13:22:43","date_gmt":"2023-06-21T13:22:43","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/chapter\/why-it-matters-power-and-polynomial-functions\/"},"modified":"2024-01-09T16:44:34","modified_gmt":"2024-01-09T16:44:34","slug":"why-it-matters-power-and-polynomial-functions","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/chapter\/why-it-matters-power-and-polynomial-functions\/","title":{"raw":"Chapter 4A. Power and Polynomial Functions","rendered":"Chapter 4A. Power and Polynomial Functions"},"content":{"raw":"You\u2019re suddenly rethinking your decision as you find yourself 456 feet above the ground on the world\u2019s tallest roller coaster\u2014Kingda Ka at Six Flags Great Adventure. \u00a0Perhaps you don\u2019t have time to think about it though since before you can catch your breath, you\u2019re already plummeting down in a 270-degree spiral. Within your 50-second ride, you travel over 3,000 feet and reach a top speed of 128 mph. This roller coaster is not for the faint of heart!\r\n\r\nSo how does a thrilling roller coaster experience come to be? \u00a0It all begins with advanced planning. Roller coaster designers use the knowledge of math, specifically polynomials, to create an experience that meets specific requirements.\r\n\r\n<img class=\"wp-image-3722 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1746\/2017\/04\/19191347\/roller-coaster-1519818_1920-300x225.jpg\" alt=\"Photo shows a roller coaster at night with lights shining on it, tallest hill is at the forefront of the photo.\" width=\"462\" height=\"346\" \/>\r\nImagine you\u2019re a roller coaster designer entrusted with the task of designing the next big attraction for a nearby theme park. Some criteria for your coaster includes a starting height of 200 ft, dive below ground level at 3 seconds into the ride, return to ground level at 5 seconds, and another dive beneath the ground 10 seconds later.\r\n\r\nWhere do you begin? \u00a0Read on because you\u2019ll find the answer to this question and many more in this module. At the end of the module, we\u2019ll return to your design problem so you can come up with a plan.","rendered":"<p>You\u2019re suddenly rethinking your decision as you find yourself 456 feet above the ground on the world\u2019s tallest roller coaster\u2014Kingda Ka at Six Flags Great Adventure. \u00a0Perhaps you don\u2019t have time to think about it though since before you can catch your breath, you\u2019re already plummeting down in a 270-degree spiral. Within your 50-second ride, you travel over 3,000 feet and reach a top speed of 128 mph. This roller coaster is not for the faint of heart!<\/p>\n<p>So how does a thrilling roller coaster experience come to be? \u00a0It all begins with advanced planning. Roller coaster designers use the knowledge of math, specifically polynomials, to create an experience that meets specific requirements.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-3722 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1746\/2017\/04\/19191347\/roller-coaster-1519818_1920-300x225.jpg\" alt=\"Photo shows a roller coaster at night with lights shining on it, tallest hill is at the forefront of the photo.\" width=\"462\" height=\"346\" \/><br \/>\nImagine you\u2019re a roller coaster designer entrusted with the task of designing the next big attraction for a nearby theme park. Some criteria for your coaster includes a starting height of 200 ft, dive below ground level at 3 seconds into the ride, return to ground level at 5 seconds, and another dive beneath the ground 10 seconds later.<\/p>\n<p>Where do you begin? \u00a0Read on because you\u2019ll find the answer to this question and many more in this module. At the end of the module, we\u2019ll return to your design problem so you can come up with a plan.<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-203\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Why It Matters: Power and Polynomial Functions. <strong>Authored by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Roller Coaster at Night. <strong>Authored by<\/strong>: tshirtevolution. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/pixabay.com\/en\/roller-coaster-blackpool-england-1519818\/\">https:\/\/pixabay.com\/en\/roller-coaster-blackpool-england-1519818\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":395986,"menu_order":1,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"Why It Matters: Power and Polynomial Functions\",\"author\":\"Lumen Learning\",\"organization\":\"\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Roller Coaster at Night\",\"author\":\"tshirtevolution\",\"organization\":\"\",\"url\":\"https:\/\/pixabay.com\/en\/roller-coaster-blackpool-england-1519818\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"3e55a835-bd6c-4c12-b51c-a33fedea7509","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-203","chapter","type-chapter","status-publish","hentry"],"part":202,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/203","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/users\/395986"}],"version-history":[{"count":5,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/203\/revisions"}],"predecessor-version":[{"id":1556,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/203\/revisions\/1556"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/parts\/202"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/203\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/media?parent=203"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=203"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/contributor?post=203"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/license?post=203"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}