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Study Guides > MATH 1314: College Algebra

Solutions

Solutions to Try Its

1. [latex]m=\frac{4 - 3}{0 - 2}=\frac{1}{-2}=-\frac{1}{2}\\[/latex] ; decreasing because [latex]m<0\\[/latex]. 2. [latex]m=\frac{1,868 - 1,442}{2,012 - 2,009}=\frac{426}{3}=142\text{ people per year}\\[/latex] 3. [latex]y - 2=-2\left(x+2\right)\\[/latex]; [latex]y=-2x - 2\\[/latex] 4. [latex]y - 0=-3\left(x - 0\right)\\[/latex] ; [latex]y=-3x\\[/latex] 5. [latex]y=-7x+3\\[/latex] 6. [latex]H\left(x\right)=0.5x+12.5\\[/latex]

Solutions to Odd-Numbered Exercises

1. Terry starts at an elevation of 3000 feet and descends 70 feet per second. 3. 3 miles per hour 5. [latex]d\left(t\right)=100 - 10t\\[/latex] 7. Yes. 9. No. 11. No. 13. No. 15. Increasing. 17. Decreasing. 19. Decreasing. 21. Increasing. 23. Decreasing. 25. 3 27. [latex]-\frac{1}{3}\\[/latex] 29. [latex]\frac{4}{5}\\[/latex] 31. [latex]f\left(x\right)=-\frac{1}{2}x+\frac{7}{2}\\[/latex] 33. [latex]y=2x+3\\[/latex] 35. [latex]y=-\frac{1}{3}x+\frac{22}{3}\\[/latex] 37. [latex]y=\frac{4}{5}x+4\\[/latex] 39. [latex]-\frac{5}{4}\\[/latex] 41. [latex]y=\frac{2}{3}x+1\\[/latex] 43. [latex]y=-2x+3\\[/latex] 45. [latex]y=3\\[/latex] 47. Linear, [latex]g\left(x\right)=-3x+5\\[/latex] 49. Linear, [latex]f\left(x\right)=5x - 5\\[/latex] 51. Linear, [latex]g\left(x\right)=-\frac{25}{2}x+6\\[/latex] 53. Linear, [latex]f\left(x\right)=10x - 24\\[/latex] 55. [latex]f\left(x\right)=-58x+17.3\\[/latex] 57. 59. a. [latex]a=11,900\\[/latex] ; [latex]b=1001.1\\[/latex] b. [latex]q\left(p\right)=1000p - 100\\[/latex] 61. .. 63. [latex]x=-\frac{16}{3}\\[/latex] 65. [latex]x=a\\[/latex] 67. [latex]y=\frac{d}{c-a}x-\frac{ad}{c-a}\\[/latex] 69. $45 per training session. 71. The rate of change is 0.1. For every additional minute talked, the monthly charge increases by $0.1 or 10 cents. The initial value is 24. When there are no minutes talked, initially the charge is $24. 73. The slope is –400. This means for every year between 1960 and 1989, the population dropped by 400 per year in the city. 75. c

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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]..