{"id":219,"date":"2020-04-20T19:25:04","date_gmt":"2020-04-20T23:25:04","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/?post_type=chapter&p=219"},"modified":"2021-07-15T12:47:58","modified_gmt":"2021-07-15T16:47:58","slug":"learning-activities-answer-key-2","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/chapter\/learning-activities-answer-key-2\/","title":{"raw":"Chapter 2 Knowledge Check Answer Key","rendered":"Chapter 2 Knowledge Check Answer Key"},"content":{"raw":"

Knowledge Check 2.1<\/h2>\r\n\r\n\r\n\r\n\r\n\r\n\r\n
1.<\/td>\r\nIntercept<\/td>\r\nSlope<\/td>\r\n<\/tr>\r\n
a. [latex]y = 6+3x[\/latex]<\/td>\r\n6<\/td>\r\n\u00a03<\/td>\r\n<\/tr>\r\n
b. [latex]t = 2n+4[\/latex]<\/td>\r\n4<\/td>\r\n2<\/td>\r\n<\/tr>\r\n
c. [latex]5s = 10-5r[\/latex]<\/td>\r\n2<\/td>\r\n-1\u00a0 (note that [latex]s = 2-r[\/latex])<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n2. a. [latex]T = 90+0.5x[\/latex]\r\n\r\n\r\n\r\n\r\n\r\n\r\n
X<\/strong><\/span><\/td>\r\nT<\/strong><\/span><\/td>\r\n<\/tr>\r\n
0<\/td>\r\n90<\/td>\r\n<\/tr>\r\n
80<\/td>\r\n130<\/td>\r\n<\/tr>\r\n
150<\/td>\r\n165<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nd. 140 minutes\r\n\r\n \r\n

Knowledge Check 2.2<\/h2>\r\n
    \r\n \t
  1. Slope: [latex]\\frac{212\u00b0F - 32\u00b0F}{100\u00b0C - 0\u00b0C}=\\frac{180\u00b0F}{100\u00b0C}=1.8 \\frac{\u00b0F}{\u00b0C}[\/latex]<\/li>\r\n \t
  2. Using the point (0\u00b0C, 32\u00b0F): [latex]$32 = a +1.8(0)[\/latex], so a<\/em> = 32\u00b0F<\/li>\r\n \t
  3. F = 32 + l .8\u00b0C.\u00a0 So putting in C<\/em> = 20, we have [latex]F =32+1.8\\times 20 = 68\u00b0F[\/latex]<\/li>\r\n<\/ol>\r\n \r\n

    Knowledge Check 2.3<\/h2>\r\n
      \r\n \t
    1. [latex]120 = 0.5r + 0.4s[\/latex]<\/li>\r\n \t
    2. [latex]80 = 0.3r + 0.4s[\/latex]<\/li>\r\n \t
    3. [latex]s = 50[\/latex]<\/li>\r\n \t
    4. [latex]r = 200[\/latex]<\/li>\r\n<\/ol>\r\n \r\n

      Knowledge Check 2.4<\/h2>\r\n
        \r\n \t
      1. [latex]C = 75,000 + 6.5x[\/latex]<\/li>\r\n \t
      2. 13,637 bags<\/li>\r\n \t
      3. 15,455 bags<\/li>\r\n<\/ol>\r\n ","rendered":"

        Knowledge Check 2.1<\/h2>\n\n\n\n\n\n\n
        1.<\/td>\nIntercept<\/td>\nSlope<\/td>\n<\/tr>\n
        a. [latex]y = 6+3x[\/latex]<\/td>\n6<\/td>\n\u00a03<\/td>\n<\/tr>\n
        b. [latex]t = 2n+4[\/latex]<\/td>\n4<\/td>\n2<\/td>\n<\/tr>\n
        c. [latex]5s = 10-5r[\/latex]<\/td>\n2<\/td>\n-1\u00a0 (note that [latex]s = 2-r[\/latex])<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

        2. a. [latex]T = 90+0.5x[\/latex]<\/p>\n\n\n\n\n\n\n
        X<\/strong><\/span><\/td>\nT<\/strong><\/span><\/td>\n<\/tr>\n
        0<\/td>\n90<\/td>\n<\/tr>\n
        80<\/td>\n130<\/td>\n<\/tr>\n
        150<\/td>\n165<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

        d. 140 minutes<\/p>\n

         <\/p>\n

        Knowledge Check 2.2<\/h2>\n
          \n
        1. Slope: [latex]\\frac{212\u00b0F - 32\u00b0F}{100\u00b0C - 0\u00b0C}=\\frac{180\u00b0F}{100\u00b0C}=1.8 \\frac{\u00b0F}{\u00b0C}[\/latex]<\/li>\n
        2. Using the point (0\u00b0C, 32\u00b0F): [latex]$32 = a +1.8(0)[\/latex], so a<\/em> = 32\u00b0F<\/li>\n
        3. F = 32 + l .8\u00b0C.\u00a0 So putting in C<\/em> = 20, we have [latex]F =32+1.8\\times 20 = 68\u00b0F[\/latex]<\/li>\n<\/ol>\n

           <\/p>\n

          Knowledge Check 2.3<\/h2>\n
            \n
          1. [latex]120 = 0.5r + 0.4s[\/latex]<\/li>\n
          2. [latex]80 = 0.3r + 0.4s[\/latex]<\/li>\n
          3. [latex]s = 50[\/latex]<\/li>\n
          4. [latex]r = 200[\/latex]<\/li>\n<\/ol>\n

             <\/p>\n

            Knowledge Check 2.4<\/h2>\n
              \n
            1. [latex]C = 75,000 + 6.5x[\/latex]<\/li>\n
            2. 13,637 bags<\/li>\n
            3. 15,455 bags<\/li>\n<\/ol>\n

               <\/p>\n","protected":false},"author":883,"menu_order":10,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-219","chapter","type-chapter","status-publish","hentry"],"part":40,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/219","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/users\/883"}],"version-history":[{"count":15,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/219\/revisions"}],"predecessor-version":[{"id":3892,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/219\/revisions\/3892"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/parts\/40"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/219\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/media?parent=219"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapter-type?post=219"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/contributor?post=219"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/license?post=219"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}