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Solutions

Solutions to Try Its

1. [latex]54^\circ \text{F}\\[/latex] 2. 150.871 billion gallons; extrapolation

Solutions to Odd-Numbered Exercises

1. When our model no longer applies, after some value in the domain, the model itself doesn’t hold. 3. We predict a value outside the domain and range of the data. 5. The closer the number is to 1, the less scattered the data, the closer the number is to 0, the more scattered the data. 7. 61.966 years 9. No 11. No 13. Interpolation. About [latex]60^\circ \text{ F}\\[/latex]. 15. C 17. B 19. 21. 23. Yes, trend appears linear because [latex]r=0.\text{985}\\[/latex] and will exceed 12,000 near midyear, 2016, 24.6 years since 1992. 25. [latex]y=\text{1}.\text{64}0x+\text{13}.\text{8}00\\[/latex] , [latex]r=0.\text{987}\\[/latex] 27. [latex]y=-0.962x+26.86, r=-0.965\\[/latex] 29. [latex]y=-\text{1}.\text{981}x+\text{6}0.\text{197}\\[/latex] ; [latex]r=-0.\text{998}\\[/latex] 31. [latex]y=0.\text{121}x - 38.841,r=0.998\\[/latex] 33. [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] 35. [latex]\left(\text{189}.\text{8},0\right)\\[/latex] If 18,980 units are sold, the company will have a profit of zero dollars. 37. [latex]y=0.00587x+\text{1985}.4\text{1}\\[/latex] 39. [latex]y=\text{2}0.\text{25}x-\text{671}.\text{5}\\[/latex] 41. [latex]y=-\text{1}0.\text{75}x+\text{742}.\text{5}0\\[/latex] 43. Yes 45. Increasing 47. [latex]y=-\text{3}x+\text{26}\\[/latex] 49. 3 51. [latex]y=\text{2}x-\text{2}\\[/latex] 53. Not linear 55. parallel 57. [latex]\left(-9,0\right);\left(0,-7\right)\\[/latex] 59. Line 1: [latex]m=-2\\[/latex]; Line 2: [latex]m=-2\\[/latex]; Parallel 61. [latex]y=-0.2x+21\\[/latex] 63. 65. 250 67. 118,000 69. [latex]y=-\text{3}00x+\text{11},\text{5}00\\[/latex] 71. a) 800 b) 100 students per year c) [latex]P\left(t\right)=100t+1700\\[/latex] 73. 18,500 75. $91,625 77. Extrapolation. 79. 81. Midway through 2024 83. [latex]y=-1.294x+49.412;\text{ } r=-0.974\\[/latex] 85. Early in 2022 87. 7,660

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  • Precalculus. Provided by: OpenStax Authored by: Jay Abramson, et al.. Located at: https://openstax.org/books/precalculus/pages/1-introduction-to-functions. License: CC BY: Attribution. License terms: Download For Free at : http://cnx.org/contents/[email protected]..