{"id":101,"date":"2023-06-21T13:22:33","date_gmt":"2023-06-21T13:22:33","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/chapter\/summary-models-and-applications\/"},"modified":"2023-06-21T13:22:33","modified_gmt":"2023-06-21T13:22:33","slug":"summary-models-and-applications","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/chapter\/summary-models-and-applications\/","title":{"raw":"Summary: Models and Applications","rendered":"Summary: Models and Applications"},"content":{"raw":"\n\n<div>\n<h2>Key Concepts<\/h2>\n<\/div>\n<ul>\n \t<li>A linear equation can be used to solve for an unknown in a number problem.<\/li>\n \t<li>Applications can be written as mathematical problems by identifying known quantities and assigning a variable to unknown quantities.<\/li>\n \t<li>There are many known formulas that can be used to solve applications. Distance problems, for example, are solved using the [latex]d=rt[\/latex] formula.<\/li>\n \t<li>Many geometry problems are solved using the perimeter formula [latex]P=2L+2W[\/latex], the area formula [latex]A=LW[\/latex], or the volume formula [latex]V=LWH[\/latex].<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<dl id=\"fs-id1165131990658\" class=\"definition\">\n \t<dt><strong>area<\/strong><\/dt>\n \t<dd id=\"fs-id1165131990661\">in square units, the area formula used in this section is used to find the area of any two-dimensional rectangular region: [latex]A=LW[\/latex]<\/dd>\n<\/dl>\n<dl id=\"fs-id1165132943522\" class=\"definition\">\n \t<dt><strong>perimeter<\/strong><\/dt>\n \t<dd id=\"fs-id1165132943525\">in linear units, the perimeter formula is used to find the linear measurement, or outside length and width, around a two-dimensional regular object; for a rectangle: [latex]P=2L+2W[\/latex]<\/dd>\n<\/dl>\n<dl id=\"fs-id1165132943528\" class=\"definition\">\n \t<dt><strong>volume<\/strong><\/dt>\n \t<dd id=\"fs-id1165134297639\">in cubic units, the volume measurement includes length, width, and depth: [latex]V=LWH[\/latex]<\/dd>\n<\/dl>\n\n","rendered":"<div>\n<h2>Key Concepts<\/h2>\n<\/div>\n<ul>\n<li>A linear equation can be used to solve for an unknown in a number problem.<\/li>\n<li>Applications can be written as mathematical problems by identifying known quantities and assigning a variable to unknown quantities.<\/li>\n<li>There are many known formulas that can be used to solve applications. Distance problems, for example, are solved using the [latex]d=rt[\/latex] formula.<\/li>\n<li>Many geometry problems are solved using the perimeter formula [latex]P=2L+2W[\/latex], the area formula [latex]A=LW[\/latex], or the volume formula [latex]V=LWH[\/latex].<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<dl id=\"fs-id1165131990658\" class=\"definition\">\n<dt><strong>area<\/strong><\/dt>\n<dd id=\"fs-id1165131990661\">in square units, the area formula used in this section is used to find the area of any two-dimensional rectangular region: [latex]A=LW[\/latex]<\/dd>\n<\/dl>\n<dl id=\"fs-id1165132943522\" class=\"definition\">\n<dt><strong>perimeter<\/strong><\/dt>\n<dd id=\"fs-id1165132943525\">in linear units, the perimeter formula is used to find the linear measurement, or outside length and width, around a two-dimensional regular object; for a rectangle: [latex]P=2L+2W[\/latex]<\/dd>\n<\/dl>\n<dl id=\"fs-id1165132943528\" class=\"definition\">\n<dt><strong>volume<\/strong><\/dt>\n<dd id=\"fs-id1165134297639\">in cubic units, the volume measurement includes length, width, and depth: [latex]V=LWH[\/latex]<\/dd>\n<\/dl>\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-101\">\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>Revision and Adaptation. <strong>Provided 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>College Algebra. <strong>Authored by<\/strong>: Abramson, Jay et al.. <strong>Provided by<\/strong>: OpenStax. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/contents\/9b08c294-057f-4201-9f48-5d6ad992740d@5.2\">http:\/\/cnx.org\/contents\/9b08c294-057f-4201-9f48-5d6ad992740d@5.2<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/9b08c294-057f-4201-9f48-5d6ad992740d@5.2<\/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":15,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"Revision and Adaptation\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"College Algebra\",\"author\":\"Abramson, Jay et 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