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Study Guides > MATH 1314: College Algebra

Solutions

Solutions to Try Its

1. m=4302=12=12m=\frac{4 - 3}{0 - 2}=\frac{1}{-2}=-\frac{1}{2}\\ ; decreasing because m<0m<0\\. 2. m=1,8681,4422,0122,009=4263=142 people per yearm=\frac{1,868 - 1,442}{2,012 - 2,009}=\frac{426}{3}=142\text{ people per year}\\ 3. y2=2(x+2)y - 2=-2\left(x+2\right)\\; y=2x2y=-2x - 2\\ 4. y0=3(x0)y - 0=-3\left(x - 0\right)\\ ; y=3xy=-3x\\ 5. y=7x+3y=-7x+3\\ 6. H(x)=0.5x+12.5H\left(x\right)=0.5x+12.5\\

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. d(t)=10010td\left(t\right)=100 - 10t\\ 7. Yes. 9. No. 11. No. 13. No. 15. Increasing. 17. Decreasing. 19. Decreasing. 21. Increasing. 23. Decreasing. 25. 3 27. 13-\frac{1}{3}\\ 29. 45\frac{4}{5}\\ 31. f(x)=12x+72f\left(x\right)=-\frac{1}{2}x+\frac{7}{2}\\ 33. y=2x+3y=2x+3\\ 35. y=13x+223y=-\frac{1}{3}x+\frac{22}{3}\\ 37. y=45x+4y=\frac{4}{5}x+4\\ 39. 54-\frac{5}{4}\\ 41. y=23x+1y=\frac{2}{3}x+1\\ 43. y=2x+3y=-2x+3\\ 45. y=3y=3\\ 47. Linear, g(x)=3x+5g\left(x\right)=-3x+5\\ 49. Linear, f(x)=5x5f\left(x\right)=5x - 5\\ 51. Linear, g(x)=252x+6g\left(x\right)=-\frac{25}{2}x+6\\ 53. Linear, f(x)=10x24f\left(x\right)=10x - 24\\ 55. f(x)=58x+17.3f\left(x\right)=-58x+17.3\\ 57. 59. a. a=11,900a=11,900\\ ; b=1001.1b=1001.1\\ b. q(p)=1000p100q\left(p\right)=1000p - 100\\ 61. .. 63. x=163x=-\frac{16}{3}\\ 65. x=ax=a\\ 67. y=dcaxadcay=\frac{d}{c-a}x-\frac{ad}{c-a}\\ 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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