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