{"id":120,"date":"2026-01-12T15:49:05","date_gmt":"2026-01-12T15:49:05","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/?post_type=chapter&p=120"},"modified":"2026-01-12T15:49:06","modified_gmt":"2026-01-12T15:49:06","slug":"linear-functions-get-stronger-answer-key","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/linear-functions-get-stronger-answer-key\/","title":{"raw":"Linear Functions: Get Stronger Answer Key","rendered":"Linear Functions: Get Stronger Answer Key"},"content":{"raw":"

Introduction to Linear Functions<\/span><\/h2>\r\n
    \r\n \t
  1. Yes<\/li>\r\n \t
  2. Yes<\/li>\r\n \t
  3. No<\/li>\r\n \t
  4. Yes<\/li>\r\n \t
  5. Increasing<\/li>\r\n \t
  6. Decreasing<\/li>\r\n \t
  7. Decreasing<\/li>\r\n \t
  8. Increasing<\/li>\r\n \t
  9. Decreasing<\/li>\r\n \t
  10. [latex]2[\/latex]<\/li>\r\n \t
  11. [latex]-2[\/latex]<\/li>\r\n \t
  12. [latex]g(x)=-3x+5[\/latex]<\/li>\r\n \t
  13. [latex]f(x)=5x-5[\/latex]<\/li>\r\n \t
  14. [latex]g(x)=-\\dfrac{25}{2}x+6[\/latex]<\/li>\r\n \t
  15. [latex]f(x)=10x-24[\/latex]<\/li>\r\n<\/ol>\r\n

    Graphs of Linear Functions<\/span><\/h2>\r\n
      \r\n \t
    1. [latex]y=\\dfrac{3}{5}x-1[\/latex]<\/li>\r\n \t
    2. [latex]y=3x-2[\/latex]<\/li>\r\n \t
    3. [latex]y=-\\dfrac{1}{4}x+\\dfrac{11}{3}[\/latex]<\/li>\r\n \t
    4. [latex]y=-1.5x-3[\/latex]<\/li>\r\n \t
    5. perpendicular<\/li>\r\n \t
    6. parallel [latex]f(0)=-(0)+2[\/latex] [latex]f(0)=2[\/latex]<\/li>\r\n \t
    7. Line 1: [latex]m=-10[\/latex] Line 2: [latex]m=-10[\/latex] Parallel<\/li>\r\n \t
    8. Line 1: [latex]m=-2[\/latex] Line 2: [latex]m=1[\/latex] Neither<\/li>\r\n \t
    9. Line 1: [latex]m=-2[\/latex] Line 2: [latex]m=-2[\/latex] Parallel<\/li>\r\n \t
    10. [latex]y=3x-3[\/latex]<\/li>\r\n \t
    11. [latex]y=-\\dfrac{3}{3}t+2[\/latex]<\/li>\r\n \t
    12. [latex]y=-\\dfrac{5}{4}x+5[\/latex]<\/li>\r\n \t
    13. [latex]y=3x-1[\/latex]<\/li>\r\n \t
    14. [latex]y=-2.5[\/latex]<\/li>\r\n \t
    15. F<\/li>\r\n \t
    16. C<\/li>\r\n \t
    17. A<\/li>\r\n \t
    18. \"Graph<\/li>\r\n \t
    19. \"Graph<\/li>\r\n \t
    20. \"Graph<\/li>\r\n \t
    21. \"Graph<\/li>\r\n \t
    22. \"Graph<\/li>\r\n \t
    23. \"Graph<\/li>\r\n \t
    24. \"Graph<\/li>\r\n \t
    25. [latex]y=3[\/latex]<\/li>\r\n \t
    26. [latex]x=-3[\/latex]<\/li>\r\n<\/ol>\r\n

      Fitting Linear Models to Data<\/span><\/h2>\r\n
        \r\n \t
      1. [latex]2,300[\/latex]<\/li>\r\n \t
      2. <\/li>\r\n \t
      3. [latex]64,170[\/latex]<\/li>\r\n \t
      4. <\/li>\r\n \t
      5. [latex]P(t)=75,000+2500t[\/latex]<\/li>\r\n \t
      6. <\/li>\r\n \t
      7. [latex](-30,0)[\/latex] Thirty years before the start of this model, the town had no citizens. $$(0,75,000)$$ Initially, the town had a population of [latex]75,000[\/latex].<\/li>\r\n \t
      8. <\/li>\r\n \t
      9. Ten years after the model began<\/li>\r\n \t
      10. <\/li>\r\n \t
      11. [latex]y=-2t+180[\/latex]<\/li>\r\n \t
      12. <\/li>\r\n \t
      13. In 2070, the company's profit will be zero.<\/li>\r\n \t
      14. <\/li>\r\n \t
      15. [latex]y=30t-300[\/latex]<\/li>\r\n \t
      16. <\/li>\r\n \t
      17. [latex](10,0)[\/latex] In the year 1990, the company's profits were zero<\/li>\r\n \t
      18. <\/li>\r\n \t
      19. \r\n
          \r\n \t
        1. [latex]696[\/latex] people<\/li>\r\n \t
        2. [latex]4[\/latex] years<\/li>\r\n \t
        3. [latex]174[\/latex] people per year<\/li>\r\n \t
        4. [latex]305[\/latex] people<\/li>\r\n \t
        5. [latex]P(t)=305+174t[\/latex]<\/li>\r\n \t
        6. [latex]2,219[\/latex] people<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
        7. \r\n
            \r\n \t
          1. [latex]C(x)=0.15x+10[\/latex]<\/li>\r\n \t
          2. The flat monthly fee is [latex]$10[\/latex] and there is a [latex]$0.15[\/latex] fee for each additional minute used<\/li>\r\n \t
          3. [latex]$113.05[\/latex]<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
          4. [latex]P(t)=190t+4,360[\/latex]<\/li>\r\n \t
          5. \r\n
              \r\n \t
            1. [latex]R(t)=-2.1t+16[\/latex]<\/li>\r\n \t
            2. [latex]5.5[\/latex] billion cubic feet<\/li>\r\n \t
            3. During the year 2017<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
            4. No\r\n\"Scatterplot<\/li>\r\n \t
            5. No\r\n\"Scatterplot<\/li>\r\n \t
            6. Interpolation. About [latex]60\u00b0F[\/latex].<\/li>\r\n \t
            7. This value of [latex]r[\/latex] indicates a strong positive correlation or slope, so D<\/li>\r\n \t
            8. This value of [latex]r[\/latex] indicates a strong negative correlation or slope, so C<\/li>\r\n \t
            9. This value of [latex]r[\/latex] indicates a weak negative correlation or slope, so B<\/li>\r\n \t
            10. This value of [latex]r[\/latex] indicates a weak negative correlation, so B<\/li>\r\n \t
            11. \"Scatter<\/li>\r\n \t
            12. \"Scatter<\/li>\r\n \t
            13. Yes, trend appears linear because [latex]r=0.985[\/latex] and will exceed [latex]12,000[\/latex] near midyear, [latex]2016[\/latex], [latex]24.6[\/latex] years since [latex]1992[\/latex].<\/li>\r\n \t
            14. [latex]y=1.640x+13,800[\/latex], [latex]r=0.987[\/latex]<\/li>\r\n \t
            15. [latex]y=-0.962x+26.86[\/latex], [latex]r=-0.965[\/latex]<\/li>\r\n \t
            16. [latex]y=-1.981x+60.197[\/latex], [latex]r=-0.998[\/latex]<\/li>\r\n \t
            17. [latex]y=0.00587x+1985.41[\/latex]<\/li>\r\n \t
            18. 2032<\/li>\r\n \t
            19. [latex]y=20.25x-671.5[\/latex]<\/li>\r\n \t
            20. approx [latex]82[\/latex] units sold in hundreds<\/li>\r\n \t
            21. [latex]y=-10.75x+742.50[\/latex]<\/li>\r\n \t
            22. approx [latex]67[\/latex] units sold in hundreds<\/li>\r\n<\/ol>","rendered":"

              Introduction to Linear Functions<\/span><\/h2>\n
                \n
              1. Yes<\/li>\n
              2. Yes<\/li>\n
              3. No<\/li>\n
              4. Yes<\/li>\n
              5. Increasing<\/li>\n
              6. Decreasing<\/li>\n
              7. Decreasing<\/li>\n
              8. Increasing<\/li>\n
              9. Decreasing<\/li>\n
              10. [latex]2[\/latex]<\/li>\n
              11. [latex]-2[\/latex]<\/li>\n
              12. [latex]g(x)=-3x+5[\/latex]<\/li>\n
              13. [latex]f(x)=5x-5[\/latex]<\/li>\n
              14. [latex]g(x)=-\\dfrac{25}{2}x+6[\/latex]<\/li>\n
              15. [latex]f(x)=10x-24[\/latex]<\/li>\n<\/ol>\n

                Graphs of Linear Functions<\/span><\/h2>\n
                  \n
                1. [latex]y=\\dfrac{3}{5}x-1[\/latex]<\/li>\n
                2. [latex]y=3x-2[\/latex]<\/li>\n
                3. [latex]y=-\\dfrac{1}{4}x+\\dfrac{11}{3}[\/latex]<\/li>\n
                4. [latex]y=-1.5x-3[\/latex]<\/li>\n
                5. perpendicular<\/li>\n
                6. parallel [latex]f(0)=-(0)+2[\/latex] [latex]f(0)=2[\/latex]<\/li>\n
                7. Line 1: [latex]m=-10[\/latex] Line 2: [latex]m=-10[\/latex] Parallel<\/li>\n
                8. Line 1: [latex]m=-2[\/latex] Line 2: [latex]m=1[\/latex] Neither<\/li>\n
                9. Line 1: [latex]m=-2[\/latex] Line 2: [latex]m=-2[\/latex] Parallel<\/li>\n
                10. [latex]y=3x-3[\/latex]<\/li>\n
                11. [latex]y=-\\dfrac{3}{3}t+2[\/latex]<\/li>\n
                12. [latex]y=-\\dfrac{5}{4}x+5[\/latex]<\/li>\n
                13. [latex]y=3x-1[\/latex]<\/li>\n
                14. [latex]y=-2.5[\/latex]<\/li>\n
                15. F<\/li>\n
                16. C<\/li>\n
                17. A<\/li>\n
                18. \"Graph<\/li>\n
                19. \"Graph<\/li>\n
                20. \"Graph<\/li>\n
                21. \"Graph<\/li>\n
                22. \"Graph<\/li>\n
                23. \"Graph<\/li>\n
                24. \"Graph<\/li>\n
                25. [latex]y=3[\/latex]<\/li>\n
                26. [latex]x=-3[\/latex]<\/li>\n<\/ol>\n

                  Fitting Linear Models to Data<\/span><\/h2>\n
                    \n
                  1. [latex]2,300[\/latex]<\/li>\n
                  2. <\/li>\n
                  3. [latex]64,170[\/latex]<\/li>\n
                  4. <\/li>\n
                  5. [latex]P(t)=75,000+2500t[\/latex]<\/li>\n
                  6. <\/li>\n
                  7. [latex](-30,0)[\/latex] Thirty years before the start of this model, the town had no citizens. $$(0,75,000)$$ Initially, the town had a population of [latex]75,000[\/latex].<\/li>\n
                  8. <\/li>\n
                  9. Ten years after the model began<\/li>\n
                  10. <\/li>\n
                  11. [latex]y=-2t+180[\/latex]<\/li>\n
                  12. <\/li>\n
                  13. In 2070, the company’s profit will be zero.<\/li>\n
                  14. <\/li>\n
                  15. [latex]y=30t-300[\/latex]<\/li>\n
                  16. <\/li>\n
                  17. [latex](10,0)[\/latex] In the year 1990, the company’s profits were zero<\/li>\n
                  18. <\/li>\n
                  19. \n
                      \n
                    1. [latex]696[\/latex] people<\/li>\n
                    2. [latex]4[\/latex] years<\/li>\n
                    3. [latex]174[\/latex] people per year<\/li>\n
                    4. [latex]305[\/latex] people<\/li>\n
                    5. [latex]P(t)=305+174t[\/latex]<\/li>\n
                    6. [latex]2,219[\/latex] people<\/li>\n<\/ol>\n<\/li>\n
                    7. \n
                        \n
                      1. [latex]C(x)=0.15x+10[\/latex]<\/li>\n
                      2. The flat monthly fee is [latex]$10[\/latex] and there is a [latex]$0.15[\/latex] fee for each additional minute used<\/li>\n
                      3. [latex]$113.05[\/latex]<\/li>\n<\/ol>\n<\/li>\n
                      4. [latex]P(t)=190t+4,360[\/latex]<\/li>\n
                      5. \n
                          \n
                        1. [latex]R(t)=-2.1t+16[\/latex]<\/li>\n
                        2. [latex]5.5[\/latex] billion cubic feet<\/li>\n
                        3. During the year 2017<\/li>\n<\/ol>\n<\/li>\n
                        4. No
                          \n\"Scatterplot<\/li>\n
                        5. No
                          \n\"Scatterplot<\/li>\n
                        6. Interpolation. About [latex]60\u00b0F[\/latex].<\/li>\n
                        7. This value of [latex]r[\/latex] indicates a strong positive correlation or slope, so D<\/li>\n
                        8. This value of [latex]r[\/latex] indicates a strong negative correlation or slope, so C<\/li>\n
                        9. This value of [latex]r[\/latex] indicates a weak negative correlation or slope, so B<\/li>\n
                        10. This value of [latex]r[\/latex] indicates a weak negative correlation, so B<\/li>\n
                        11. \"Scatter<\/li>\n
                        12. \"Scatter<\/li>\n
                        13. Yes, trend appears linear because [latex]r=0.985[\/latex] and will exceed [latex]12,000[\/latex] near midyear, [latex]2016[\/latex], [latex]24.6[\/latex] years since [latex]1992[\/latex].<\/li>\n
                        14. [latex]y=1.640x+13,800[\/latex], [latex]r=0.987[\/latex]<\/li>\n
                        15. [latex]y=-0.962x+26.86[\/latex], [latex]r=-0.965[\/latex]<\/li>\n
                        16. [latex]y=-1.981x+60.197[\/latex], [latex]r=-0.998[\/latex]<\/li>\n
                        17. [latex]y=0.00587x+1985.41[\/latex]<\/li>\n
                        18. 2032<\/li>\n
                        19. [latex]y=20.25x-671.5[\/latex]<\/li>\n
                        20. approx [latex]82[\/latex] units sold in hundreds<\/li>\n
                        21. [latex]y=-10.75x+742.50[\/latex]<\/li>\n
                        22. approx [latex]67[\/latex] units sold in hundreds<\/li>\n<\/ol>\n","protected":false},"author":15,"menu_order":7,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":106,"module-header":"- Select Header -","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/120"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/users\/15"}],"version-history":[{"count":1,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/120\/revisions"}],"predecessor-version":[{"id":128,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/120\/revisions\/128"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/parts\/106"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/120\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/media?parent=120"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapter-type?post=120"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/contributor?post=120"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/license?post=120"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}