{"id":15274,"date":"2021-10-11T22:48:47","date_gmt":"2021-10-11T22:48:47","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/chapter\/solutions-9\/"},"modified":"2021-10-30T02:35:45","modified_gmt":"2021-10-30T02:35:45","slug":"solutions-linear-functions","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/chapter\/solutions-linear-functions\/","title":{"raw":"Solutions: Linear Functions","rendered":"Solutions: Linear Functions"},"content":{"raw":"<h2 style=\"text-align: center;\">Solutions to Odd-Numbered Exercises<\/h2>\r\n1. 3\r\n\r\n3.\u00a0[latex]-\\frac{1}{3}[\/latex]\r\n\r\n5.\u00a0[latex]\\frac{4}{5}[\/latex]\r\n\r\n7.\u00a0[latex]-\\frac{5}{4}[\/latex]\r\n\r\n9.\u00a0[latex]y=\\frac{2}{3}x+1[\/latex]\r\n\r\n11.\u00a0[latex]y=-2x+3[\/latex]\r\n\r\n13.\u00a0[latex]y=3[\/latex]\r\n\r\n15.\u00a0Linear, [latex]g\\left(x\\right)=-3x+5[\/latex]\r\n\r\n17.\u00a0Linear, [latex]f\\left(x\\right)=5x - 5[\/latex]\r\n\r\n19.\u00a0Linear, [latex]g\\left(x\\right)=-\\frac{25}{2}x+6[\/latex]\r\n\r\n21.\u00a0Linear, [latex]f\\left(x\\right)=10x - 24[\/latex]\r\n\r\n23.\u00a0[latex]x=-\\frac{16}{3}[\/latex]\r\n\r\n25.\u00a0[latex]x=a[\/latex]\r\n\r\n27.\u00a0[latex]y=\\frac{d}{c-a}x-\\frac{ad}{c-a}[\/latex]\r\n\r\n29.\u00a0F\r\n\r\n31. C\r\n\r\n33. A\r\n\r\n35.\r\n<img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005147\/CNX_Precalc_Figure_02_02_203.jpg\" alt=\"\" width=\"337\" height=\"305\" \/>\r\n\r\n37.\r\n<img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005147\/CNX_Precalc_Figure_02_02_205.jpg\" alt=\"\" width=\"350\" height=\"245\" \/>\r\n\r\n39.\r\n<img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005147\/CNX_Precalc_Figure_02_02_207.jpg\" alt=\"\" width=\"347\" height=\"279\" \/>\r\n\r\n41.\r\n<img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005148\/CNX_Precalc_Figure_02_02_209.jpg\" alt=\"\" width=\"322\" height=\"290\" \/>\r\n\r\n43.\r\n<img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005148\/CNX_Precalc_Figure_02_02_211.jpg\" alt=\"\" width=\"361\" height=\"253\" \/>\r\n\r\n45.\r\n<img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005148\/CNX_Precalc_Figure_02_02_226.jpg\" alt=\"\" width=\"306\" height=\"319\" \/>\r\n\r\n47.\r\n<img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005148\/CNX_Precalc_Figure_02_02_214.jpg\" alt=\"\" width=\"389\" height=\"273\" \/>\r\n\r\n49.\r\n<img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005149\/CNX_Precalc_Figure_02_02_216.jpg\" alt=\"\" width=\"422\" height=\"471\" \/>\r\n\r\n51.\r\n<img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005149\/CNX_Precalc_Figure_02_02_218.jpg\" alt=\"\" width=\"398\" height=\"358\" \/>\r\n\r\n53.\r\n<img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005149\/CNX_Precalc_Figure_02_02_220.jpg\" alt=\"\" width=\"377\" height=\"341\" \/>\r\n\r\n55.\u00a0[latex]y=3[\/latex]\r\n\r\n57.\u00a0[latex]x=-3[\/latex]","rendered":"<h2 style=\"text-align: center;\">Solutions to Odd-Numbered Exercises<\/h2>\n<p>1. 3<\/p>\n<p>3.\u00a0[latex]-\\frac{1}{3}[\/latex]<\/p>\n<p>5.\u00a0[latex]\\frac{4}{5}[\/latex]<\/p>\n<p>7.\u00a0[latex]-\\frac{5}{4}[\/latex]<\/p>\n<p>9.\u00a0[latex]y=\\frac{2}{3}x+1[\/latex]<\/p>\n<p>11.\u00a0[latex]y=-2x+3[\/latex]<\/p>\n<p>13.\u00a0[latex]y=3[\/latex]<\/p>\n<p>15.\u00a0Linear, [latex]g\\left(x\\right)=-3x+5[\/latex]<\/p>\n<p>17.\u00a0Linear, [latex]f\\left(x\\right)=5x - 5[\/latex]<\/p>\n<p>19.\u00a0Linear, [latex]g\\left(x\\right)=-\\frac{25}{2}x+6[\/latex]<\/p>\n<p>21.\u00a0Linear, [latex]f\\left(x\\right)=10x - 24[\/latex]<\/p>\n<p>23.\u00a0[latex]x=-\\frac{16}{3}[\/latex]<\/p>\n<p>25.\u00a0[latex]x=a[\/latex]<\/p>\n<p>27.\u00a0[latex]y=\\frac{d}{c-a}x-\\frac{ad}{c-a}[\/latex]<\/p>\n<p>29.\u00a0F<\/p>\n<p>31. C<\/p>\n<p>33. A<\/p>\n<p>35.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005147\/CNX_Precalc_Figure_02_02_203.jpg\" alt=\"\" width=\"337\" height=\"305\" \/><\/p>\n<p>37.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005147\/CNX_Precalc_Figure_02_02_205.jpg\" alt=\"\" width=\"350\" height=\"245\" \/><\/p>\n<p>39.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005147\/CNX_Precalc_Figure_02_02_207.jpg\" alt=\"\" width=\"347\" height=\"279\" \/><\/p>\n<p>41.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005148\/CNX_Precalc_Figure_02_02_209.jpg\" alt=\"\" width=\"322\" height=\"290\" \/><\/p>\n<p>43.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005148\/CNX_Precalc_Figure_02_02_211.jpg\" alt=\"\" width=\"361\" height=\"253\" \/><\/p>\n<p>45.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005148\/CNX_Precalc_Figure_02_02_226.jpg\" alt=\"\" width=\"306\" height=\"319\" \/><\/p>\n<p>47.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005148\/CNX_Precalc_Figure_02_02_214.jpg\" alt=\"\" width=\"389\" height=\"273\" \/><\/p>\n<p>49.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005149\/CNX_Precalc_Figure_02_02_216.jpg\" alt=\"\" width=\"422\" height=\"471\" \/><\/p>\n<p>51.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005149\/CNX_Precalc_Figure_02_02_218.jpg\" alt=\"\" width=\"398\" height=\"358\" \/><\/p>\n<p>53.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1227\/2015\/04\/03005149\/CNX_Precalc_Figure_02_02_220.jpg\" alt=\"\" width=\"377\" height=\"341\" \/><\/p>\n<p>55.\u00a0[latex]y=3[\/latex]<\/p>\n<p>57.\u00a0[latex]x=-3[\/latex]<\/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-15274\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Precalculus. <strong>Authored by<\/strong>: Jay Abramson, et al.. <strong>Provided by<\/strong>: OpenStax. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175\">http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175<\/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\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175.<\/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":167848,"menu_order":6,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Precalculus\",\"author\":\"Jay Abramson, et al.\",\"organization\":\"OpenStax\",\"url\":\"http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download For Free at : http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175.\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-15274","chapter","type-chapter","status-publish","hentry"],"part":15410,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/pressbooks\/v2\/chapters\/15274","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/wp\/v2\/users\/167848"}],"version-history":[{"count":4,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/pressbooks\/v2\/chapters\/15274\/revisions"}],"predecessor-version":[{"id":15961,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/pressbooks\/v2\/chapters\/15274\/revisions\/15961"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/pressbooks\/v2\/parts\/15410"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/pressbooks\/v2\/chapters\/15274\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/wp\/v2\/media?parent=15274"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/pressbooks\/v2\/chapter-type?post=15274"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/wp\/v2\/contributor?post=15274"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/wp\/v2\/license?post=15274"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}