{"id":42,"date":"2020-02-07T11:25:30","date_gmt":"2020-02-07T16:25:30","guid":{"rendered":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/chapter\/2-5-practice-question-answers\/"},"modified":"2023-11-27T14:19:24","modified_gmt":"2023-11-27T19:19:24","slug":"2-5-practice-question-answers","status":"publish","type":"chapter","link":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/chapter\/2-5-practice-question-answers\/","title":{"raw":"2.5. Practice question answers","rendered":"2.5. Practice question answers"},"content":{"raw":"[Latexpage]\n<h1>Chapter 2 practice question answers<\/h1>\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\"><strong>2.1. Graphing a Linear Equation<\/strong><\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\n<strong>1.<\/strong> Yes\n\n<strong>2.\u00a0 \u00a0 \u00a0 <\/strong><strong>a.\u00a0<\/strong>(2, -6) (6 , 6)\n<p style=\"padding-left: 40px\"><strong>b.<\/strong> (0, -12) (4, 0)<\/p>\n<strong>3.\u00a0<\/strong>\n<div class=\"textbox\" style=\"text-align: center\"><img src=\"http:\/\/pressbooks.library.ryerson.ca\/ohsmath\/wp-content\/uploads\/sites\/81\/2019\/06\/Sekhon-applied-finite-mathematics-52.jpg\" alt=\"\" width=\"142\" height=\"173\" class=\"size-full wp-image-2873 aligncenter\"><\/div>\n<strong>4.\u00a0<\/strong>\n<div class=\"textbox\" style=\"text-align: center\"><img src=\"http:\/\/pressbooks.library.ryerson.ca\/ohsmath\/wp-content\/uploads\/sites\/81\/2019\/06\/Sekhon-applied-finite-mathematics-5-1.jpg\" alt=\"\" width=\"172\" height=\"180\" class=\"size-full wp-image-2871 aligncenter\"><\/div>\n<strong>5.\u00a0<\/strong>\n<div class=\"textbox\" style=\"text-align: center\"><img src=\"http:\/\/pressbooks.library.ryerson.ca\/ohsmath\/wp-content\/uploads\/sites\/81\/2019\/06\/Sekhon-applied-finite-mathematics-53.jpg\" alt=\"\" width=\"210\" height=\"155\" class=\"size-medium wp-image-2872 aligncenter\"><\/div>\n<div><strong>6.\u00a0<\/strong><\/div>\n<div>\n<div class=\"textbox\" style=\"text-align: center\"><img src=\"http:\/\/pressbooks.library.ryerson.ca\/ohsmath\/wp-content\/uploads\/sites\/81\/2020\/02\/Capture.jpg\" alt=\"\" width=\"205\" height=\"158\" class=\"alignnone wp-image-3117\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n&nbsp;\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\"><strong>2.2. Slope of a Line<\/strong><\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\n<strong>1.\u00a0 a.\u00a0 <\/strong><em>m\u00a0<\/em>= 2\n\n<strong>\u00a0 \u00a0 \u00a0b.\u00a0 <\/strong><em>m\u00a0<\/em>= -2\n\n<strong>\u00a0 \u00a0 \u00a0c.\u00a0 <\/strong><em>m\u00a0<\/em>= -1\n\n<strong>2.\u00a0 a.\u00a0 <\/strong><em>m\u00a0<\/em>= -2\n\n<strong>\u00a0 \u00a0 \u00a0b.\u00a0 <\/strong><em>m\u00a0<\/em><strong>=<\/strong> $3\/4$\n\n<strong>\u00a0 \u00a0 \u00a0c.\u00a0 <\/strong><em>m\u00a0<\/em>= 2\n\n<strong>3.\u00a0 a.\u00a0 <\/strong>\n<div class=\"textbox\" style=\"text-align: center\"><img src=\"http:\/\/pressbooks.library.ryerson.ca\/ohsmath\/wp-content\/uploads\/sites\/81\/2020\/02\/Capture2.jpg\" alt=\"\" width=\"155\" height=\"146\" class=\"alignnone wp-image-3122\"><\/div>\n<strong>3.\u00a0 b.<\/strong>\n<div class=\"textbox\" style=\"text-align: center\"><img src=\"http:\/\/pressbooks.library.ryerson.ca\/ohsmath\/wp-content\/uploads\/sites\/81\/2020\/02\/Capture3.jpg\" alt=\"\" width=\"161\" height=\"142\" class=\"alignnone wp-image-3123\"><\/div>\n<\/div>\n<\/div>\n&nbsp;\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\"><strong>2.3. Equation of a Line<\/strong><\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\n<strong>1.\u00a0 a.\u00a0<\/strong> $y = 6x - 13$\n\n<strong>\u00a0 \u00a0 \u00a0b.\u00a0 <\/strong>$y = 2\/5x - 4$\n\n<strong>\u00a0 \u00a0 \u00a0c.\u00a0 <\/strong>$y = 5\/2x - 10$\n\n<strong>\u00a0 \u00a0 \u00a0d.\u00a0 <\/strong>$y = -3x - 13$\n\n<strong>\u00a0 \u00a0 \u00a0e.\u00a0 <\/strong>$y = -1$\n\n<strong>\u00a0 \u00a0 \u00a0f.\u00a0 <\/strong>$y = -4\/3x + 4$\n\n<strong>2.\u00a0<\/strong> <strong>a.<\/strong> $3x - 4y = -4$\n\n<strong>\u00a0 \u00a0 \u00a0b. <\/strong>$4x - 3y = 17$\n\n<\/div>\n<\/div>\n&nbsp;\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\"><strong>2.4. Applications<\/strong><\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\n<strong>1.\u00a0<\/strong> $y = 20x + 350$\n\n<strong>2.<\/strong>\u00a0 $y = 2\/5x$, $68$ pounds\n\n<strong>3.<\/strong>\u00a0 \u2248 \\$1,030,358\n\n<strong>4.\u00a0 <\/strong>45,222\n\n<strong>5.\u00a0<\/strong> $x = 5$ dollars, $y = 23000$ items\n\n<strong>6.\u00a0<\/strong> (8250, 12375)\n\n<\/div>\n<\/div>\n&nbsp;\n\n&nbsp;","rendered":"<h1>Chapter 2 practice question answers<\/h1>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\"><strong>2.1. Graphing a Linear Equation<\/strong><\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p><strong>1.<\/strong> Yes<\/p>\n<p><strong>2.\u00a0 \u00a0 \u00a0 <\/strong><strong>a.\u00a0<\/strong>(2, -6) (6 , 6)<\/p>\n<p style=\"padding-left: 40px\"><strong>b.<\/strong> (0, -12) (4, 0)<\/p>\n<p><strong>3.\u00a0<\/strong><\/p>\n<div class=\"textbox\" style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/pressbooks.library.ryerson.ca\/ohsmath\/wp-content\/uploads\/sites\/81\/2019\/06\/Sekhon-applied-finite-mathematics-52.jpg\" alt=\"\" width=\"142\" height=\"173\" class=\"size-full wp-image-2873 aligncenter\" \/><\/div>\n<p><strong>4.\u00a0<\/strong><\/p>\n<div class=\"textbox\" style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/pressbooks.library.ryerson.ca\/ohsmath\/wp-content\/uploads\/sites\/81\/2019\/06\/Sekhon-applied-finite-mathematics-5-1.jpg\" alt=\"\" width=\"172\" height=\"180\" class=\"size-full wp-image-2871 aligncenter\" \/><\/div>\n<p><strong>5.\u00a0<\/strong><\/p>\n<div class=\"textbox\" style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/pressbooks.library.ryerson.ca\/ohsmath\/wp-content\/uploads\/sites\/81\/2019\/06\/Sekhon-applied-finite-mathematics-53.jpg\" alt=\"\" width=\"210\" height=\"155\" class=\"size-medium wp-image-2872 aligncenter\" \/><\/div>\n<div><strong>6.\u00a0<\/strong><\/div>\n<div>\n<div class=\"textbox\" style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/pressbooks.library.ryerson.ca\/ohsmath\/wp-content\/uploads\/sites\/81\/2020\/02\/Capture.jpg\" alt=\"\" width=\"205\" height=\"158\" class=\"alignnone wp-image-3117\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\"><strong>2.2. Slope of a Line<\/strong><\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p><strong>1.\u00a0 a.\u00a0 <\/strong><em>m\u00a0<\/em>= 2<\/p>\n<p><strong>\u00a0 \u00a0 \u00a0b.\u00a0 <\/strong><em>m\u00a0<\/em>= -2<\/p>\n<p><strong>\u00a0 \u00a0 \u00a0c.\u00a0 <\/strong><em>m\u00a0<\/em>= -1<\/p>\n<p><strong>2.\u00a0 a.\u00a0 <\/strong><em>m\u00a0<\/em>= -2<\/p>\n<p><strong>\u00a0 \u00a0 \u00a0b.\u00a0 <\/strong><em>m\u00a0<\/em><strong>=<\/strong> <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-content\/ql-cache\/quicklatex.com-e8d7da7710ff8a6736d1dcf6b4acfd61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#47;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"27\" style=\"vertical-align: -5px;\" \/><\/p>\n<p><strong>\u00a0 \u00a0 \u00a0c.\u00a0 <\/strong><em>m\u00a0<\/em>= 2<\/p>\n<p><strong>3.\u00a0 a.\u00a0 <\/strong><\/p>\n<div class=\"textbox\" style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/pressbooks.library.ryerson.ca\/ohsmath\/wp-content\/uploads\/sites\/81\/2020\/02\/Capture2.jpg\" alt=\"\" width=\"155\" height=\"146\" class=\"alignnone wp-image-3122\" \/><\/div>\n<p><strong>3.\u00a0 b.<\/strong><\/p>\n<div class=\"textbox\" style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/pressbooks.library.ryerson.ca\/ohsmath\/wp-content\/uploads\/sites\/81\/2020\/02\/Capture3.jpg\" alt=\"\" width=\"161\" height=\"142\" class=\"alignnone wp-image-3123\" \/><\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\"><strong>2.3. Equation of a Line<\/strong><\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p><strong>1.\u00a0 a.\u00a0<\/strong> <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-content\/ql-cache\/quicklatex.com-e040e893d19ce5a5745848d1254f9726_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#32;&#61;&#32;&#54;&#120;&#32;&#45;&#32;&#49;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"92\" style=\"vertical-align: -4px;\" \/><\/p>\n<p><strong>\u00a0 \u00a0 \u00a0b.\u00a0 <\/strong><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-content\/ql-cache\/quicklatex.com-f9a29aae372af7c2dd42264127f66087_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#32;&#61;&#32;&#50;&#47;&#53;&#120;&#32;&#45;&#32;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"100\" style=\"vertical-align: -5px;\" \/><\/p>\n<p><strong>\u00a0 \u00a0 \u00a0c.\u00a0 <\/strong><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-content\/ql-cache\/quicklatex.com-1163a9d4a0d9690fcc1d5f2fba22f4c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#32;&#61;&#32;&#53;&#47;&#50;&#120;&#32;&#45;&#32;&#49;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"109\" style=\"vertical-align: -5px;\" \/><\/p>\n<p><strong>\u00a0 \u00a0 \u00a0d.\u00a0 <\/strong><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-content\/ql-cache\/quicklatex.com-d6319c66ab9ca67f4fbca37122f49119_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#32;&#61;&#32;&#45;&#51;&#120;&#32;&#45;&#32;&#49;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"105\" style=\"vertical-align: -4px;\" \/><\/p>\n<p><strong>\u00a0 \u00a0 \u00a0e.\u00a0 <\/strong><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-content\/ql-cache\/quicklatex.com-6965828bf40bc2cc0265ae0f124f7d8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#32;&#61;&#32;&#45;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"55\" style=\"vertical-align: -4px;\" \/><\/p>\n<p><strong>\u00a0 \u00a0 \u00a0f.\u00a0 <\/strong><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-content\/ql-cache\/quicklatex.com-47dbcb8a80bc040b639294785082c750_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#32;&#61;&#32;&#45;&#52;&#47;&#51;&#120;&#32;&#43;&#32;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"114\" style=\"vertical-align: -5px;\" \/><\/p>\n<p><strong>2.\u00a0<\/strong> <strong>a.<\/strong> <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-content\/ql-cache\/quicklatex.com-bf7e16e6f74fd6e4986a74a0c25fd035_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#32;&#45;&#32;&#52;&#121;&#32;&#61;&#32;&#45;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"105\" style=\"vertical-align: -4px;\" \/><\/p>\n<p><strong>\u00a0 \u00a0 \u00a0b. <\/strong><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-content\/ql-cache\/quicklatex.com-df22daababdd8802dbb8dfaceac78331_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#120;&#32;&#45;&#32;&#51;&#121;&#32;&#61;&#32;&#49;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"100\" style=\"vertical-align: -4px;\" \/><\/p>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\"><strong>2.4. Applications<\/strong><\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p><strong>1.\u00a0<\/strong> <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-content\/ql-cache\/quicklatex.com-627e94c2f31d8272f68126d413e41a1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#32;&#61;&#32;&#50;&#48;&#120;&#32;&#43;&#32;&#51;&#53;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"109\" style=\"vertical-align: -4px;\" \/><\/p>\n<p><strong>2.<\/strong>\u00a0 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-content\/ql-cache\/quicklatex.com-b9b2014f33dbdf9eeb5b183e0858e390_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#32;&#61;&#32;&#50;&#47;&#53;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\" \/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-content\/ql-cache\/quicklatex.com-806d349fe3d0612ddd21b2ccea0b23ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> pounds<\/p>\n<p><strong>3.<\/strong>\u00a0 \u2248 &#36;1,030,358<\/p>\n<p><strong>4.\u00a0 <\/strong>45,222<\/p>\n<p><strong>5.\u00a0<\/strong> <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-content\/ql-cache\/quicklatex.com-0e0d817fdf78eac25a040b0125c81989_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#61;&#32;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"42\" style=\"vertical-align: 0px;\" \/> dollars, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-content\/ql-cache\/quicklatex.com-4bf843747d992cc3b90852b4e4c3aedd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#32;&#61;&#32;&#50;&#51;&#48;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"78\" style=\"vertical-align: -4px;\" \/> items<\/p>\n<p><strong>6.\u00a0<\/strong> (8250, 12375)<\/p>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"author":2,"menu_order":5,"template":"","meta":{"pb_show_title":"","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[49],"contributor":[],"license":[],"class_list":["post-42","chapter","type-chapter","status-publish","hentry","chapter-type-numberless"],"part":33,"_links":{"self":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/chapters\/42","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/wp\/v2\/users\/2"}],"version-history":[{"count":1,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/chapters\/42\/revisions"}],"predecessor-version":[{"id":43,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/chapters\/42\/revisions\/43"}],"part":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/parts\/33"}],"metadata":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/chapters\/42\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/wp\/v2\/media?parent=42"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/chapter-type?post=42"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/wp\/v2\/contributor?post=42"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/wp\/v2\/license?post=42"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}