{"id":1183,"date":"2015-11-12T18:35:31","date_gmt":"2015-11-12T18:35:31","guid":{"rendered":"https:\/\/courses.candelalearning.com\/collegealgebra1xmaster\/?post_type=chapter&p=1183"},"modified":"2017-03-31T22:19:15","modified_gmt":"2017-03-31T22:19:15","slug":"solutions-46","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/odessa-collegealgebra\/chapter\/solutions-46\/","title":{"raw":"Solutions","rendered":"Solutions"},"content":{"raw":"

Solutions to Try Its<\/h2>\r\n1.\u00a0[latex]54^\\circ \\text{F}[\/latex]\r\n\r\n2.\u00a0150.871 billion gallons; extrapolation\r\n

Solutions to Odd-Numbered Exercises<\/h2>\r\n1.\u00a0When our model no longer applies, after some value in the domain, the model itself doesn\u2019t hold.\r\n\r\n3.\u00a0We predict a value outside the domain and range of the data.\r\n\r\n5.\u00a0The closer the number is to 1, the less scattered the data, the closer the number is to 0, the more scattered the data.\r\n\r\n7.\u00a061.966 years\r\n\r\n9. No\r\n\r\n11. No\r\n\r\n13.\u00a0Interpolation. About [latex]60^\\circ \\text{ F}[\/latex].\r\n\r\n15. C\r\n\r\n17. B\r\n\r\n19.\r\n\"\"\r\n\r\n21.\r\n\"\"\r\n\r\n23.\u00a0Yes, trend appears linear because [latex]r=0.\\text{985}[\/latex] and will exceed 12,000 near midyear, 2016, 24.6 years since 1992.\r\n\r\n25.\u00a0[latex]y=\\text{1}.\\text{64}0x+\\text{13}.\\text{8}00[\/latex] , [latex]r=0.\\text{987}[\/latex]\r\n\r\n27. [latex]y=-0.962x+26.86, r=-0.965[\/latex]\r\n\r\n29. [latex]y=-\\text{1}.\\text{981}x+\\text{6}0.\\text{197}[\/latex] ; [latex]r=-0.\\text{998}[\/latex]\r\n\r\n31.\u00a0[latex]y=0.\\text{121}x - 38.841,r=0.998[\/latex]\r\n\r\n33.\u00a0[latex]\\left(-2,\\text{ }-6\\right),\\left(1,\\text{ }-12\\right),\\left(5,\\text{ }-20\\right),\\left(6,\\text{ }-22\\right),\\left(9,\\text{ }-28\\right)[\/latex]; [latex]y=-2x - 10[\/latex]\r\n\r\n35.\u00a0[latex]\\left(\\text{189}.\\text{8},0\\right)[\/latex] If 18,980 units are sold, the company will have a profit of zero dollars.\r\n\r\n37.\u00a0[latex]y=0.00587x+\\text{1985}.4\\text{1}[\/latex]\r\n\r\n39.\u00a0[latex]y=\\text{2}0.\\text{25}x-\\text{671}.\\text{5}[\/latex]\r\n\r\n41.\u00a0[latex]y=-\\text{1}0.\\text{75}x+\\text{742}.\\text{5}0[\/latex]\r\n\r\n43.\u00a0Yes\r\n\r\n45.\u00a0Increasing\r\n\r\n47.\u00a0[latex]y=-\\text{3}x+\\text{26}[\/latex]\r\n\r\n49. 3\r\n\r\n51.\u00a0[latex]y=\\text{2}x-\\text{2}[\/latex]\r\n\r\n53.\u00a0Not linear\r\n\r\n55.\u00a0parallel\r\n\r\n57.\u00a0[latex]\\left(-9,0\\right);\\left(0,-7\\right)[\/latex]\r\n\r\n59.\u00a0Line 1: [latex]m=-2[\/latex]; Line 2: [latex]m=-2[\/latex]; Parallel\r\n\r\n61.\u00a0[latex]y=-0.2x+21[\/latex]\r\n\r\n63.\r\n\"\"\r\n\r\n65.\u00a0250\r\n\r\n67.\u00a0118,000\r\n\r\n69.\u00a0[latex]y=-\\text{3}00x+\\text{11},\\text{5}00[\/latex]\r\n\r\n71.\u00a0a) 800\u00a0b) 100 students per year c) [latex]P\\left(t\\right)=100t+1700[\/latex]\r\n\r\n73.\u00a018,500\r\n\r\n75.\u00a0$91,625\r\n\r\n77.\u00a0Extrapolation.\r\n\"\"\r\n\r\n79.\r\n\"\"\r\n\r\n81.\u00a0Midway through 2024\r\n\r\n83.\u00a0[latex]y=-1.294x+49.412;\\text{ } r=-0.974[\/latex]\r\n\r\n85.\u00a0Early in 2022\r\n\r\n87.\u00a07,660","rendered":"

Solutions to Try Its<\/h2>\n

1.\u00a0[latex]54^\\circ \\text{F}[\/latex]<\/p>\n

2.\u00a0150.871 billion gallons; extrapolation<\/p>\n

Solutions to Odd-Numbered Exercises<\/h2>\n

1.\u00a0When our model no longer applies, after some value in the domain, the model itself doesn\u2019t hold.<\/p>\n

3.\u00a0We predict a value outside the domain and range of the data.<\/p>\n

5.\u00a0The closer the number is to 1, the less scattered the data, the closer the number is to 0, the more scattered the data.<\/p>\n

7.\u00a061.966 years<\/p>\n

9. No<\/p>\n

11. No<\/p>\n

13.\u00a0Interpolation. About [latex]60^\\circ \\text{ F}[\/latex].<\/p>\n

15. C<\/p>\n

17. B<\/p>\n

19.
\n\"\"<\/p>\n

21.
\n\"\"<\/p>\n

23.\u00a0Yes, trend appears linear because [latex]r=0.\\text{985}[\/latex] and will exceed 12,000 near midyear, 2016, 24.6 years since 1992.<\/p>\n

25.\u00a0[latex]y=\\text{1}.\\text{64}0x+\\text{13}.\\text{8}00[\/latex] , [latex]r=0.\\text{987}[\/latex]<\/p>\n

27. [latex]y=-0.962x+26.86, r=-0.965[\/latex]<\/p>\n

29. [latex]y=-\\text{1}.\\text{981}x+\\text{6}0.\\text{197}[\/latex] ; [latex]r=-0.\\text{998}[\/latex]<\/p>\n

31.\u00a0[latex]y=0.\\text{121}x - 38.841,r=0.998[\/latex]<\/p>\n

33.\u00a0[latex]\\left(-2,\\text{ }-6\\right),\\left(1,\\text{ }-12\\right),\\left(5,\\text{ }-20\\right),\\left(6,\\text{ }-22\\right),\\left(9,\\text{ }-28\\right)[\/latex]; [latex]y=-2x - 10[\/latex]<\/p>\n

35.\u00a0[latex]\\left(\\text{189}.\\text{8},0\\right)[\/latex] If 18,980 units are sold, the company will have a profit of zero dollars.<\/p>\n

37.\u00a0[latex]y=0.00587x+\\text{1985}.4\\text{1}[\/latex]<\/p>\n

39.\u00a0[latex]y=\\text{2}0.\\text{25}x-\\text{671}.\\text{5}[\/latex]<\/p>\n

41.\u00a0[latex]y=-\\text{1}0.\\text{75}x+\\text{742}.\\text{5}0[\/latex]<\/p>\n

43.\u00a0Yes<\/p>\n

45.\u00a0Increasing<\/p>\n

47.\u00a0[latex]y=-\\text{3}x+\\text{26}[\/latex]<\/p>\n

49. 3<\/p>\n

51.\u00a0[latex]y=\\text{2}x-\\text{2}[\/latex]<\/p>\n

53.\u00a0Not linear<\/p>\n

55.\u00a0parallel<\/p>\n

57.\u00a0[latex]\\left(-9,0\\right);\\left(0,-7\\right)[\/latex]<\/p>\n

59.\u00a0Line 1: [latex]m=-2[\/latex]; Line 2: [latex]m=-2[\/latex]; Parallel<\/p>\n

61.\u00a0[latex]y=-0.2x+21[\/latex]<\/p>\n

63.
\n\"\"<\/p>\n

65.\u00a0250<\/p>\n

67.\u00a0118,000<\/p>\n

69.\u00a0[latex]y=-\\text{3}00x+\\text{11},\\text{5}00[\/latex]<\/p>\n

71.\u00a0a) 800\u00a0b) 100 students per year c) [latex]P\\left(t\\right)=100t+1700[\/latex]<\/p>\n

73.\u00a018,500<\/p>\n

75.\u00a0$91,625<\/p>\n

77.\u00a0Extrapolation.
\n\"\"<\/p>\n

79.
\n\"\"<\/p>\n

81.\u00a0Midway through 2024<\/p>\n

83.\u00a0[latex]y=-1.294x+49.412;\\text{ } r=-0.974[\/latex]<\/p>\n

85.\u00a0Early in 2022<\/p>\n

87.\u00a07,660<\/p>\n\n\t\t\t

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