Exercise Set 1.1 1. y = 2x + 4 2. y = -3x 3. y = -2 4. y = ½x + 1/4 5 ...

Exercise Set 1.1 1. y = 2x + 4 2. y = -3x 3. y = -2 4. y = ?x + 1/4 5.

6. 3/4, (4,0), (0,-3) 7. -?, (9/2,0), (0,9/4)

8. 5/4, (-12/5, 0), (0,3) 9. -13/47, (-112/13, 0), (0,-112/47) 10. 0, (0,-19/4) 11. y = -3x +11 12. y = ?x + 1

13.

14. y = 14x + 143/10 15. y = 4.1x -12.3 16. x = -1 17. y = -6 18. y = 2x + 4 19. x = 12

20. y = 8

21.

22.

23.

24.

25.

26.

27.

28.

1

29.

30.

y = -19/4

31.

32.

33.

34.

35.

36.

x = -1

2

37.

38.

39. y

40.

x = 12

(12, 0)

x

41. (a) 2/5, (3,0), (0,-6/5) (b)

(0, 37/5)

(0, -6/5)

42. (a) -3/7, (-14,0), (0,-6) (b)

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43. (a) y = -6/5 (b) x = 3 44. (a) y = -6 (b) x =-14 45. y = 1, y = -7 46. x = 8, x = -4 47. no slope 48. 7/5 49. -8/5 50. 0 51. no slope 52. ? 53. -7 54. 24 55. -2 56. 0 57. no slope 58. 4/7 59. x = 1 60. 7x - 5y = 59 61. 8x + 5y = 0. 62. y = 4 63. x = 12 64. y = ?x + 3 65. 14x + 2y = 3 66. y = 24x -9

67. y = -2x 68. y = -5 69. x = ? 70.

71. y = 3x - 8 72. (a) 2x -5y = 16 (b) 5x + 2y = -18

73. (a) 3x + 7y = -18(b) 7x - 3y = 16 74. (a) 3 .(b)

75. 5y + 2x = 20, 5y -2x = 20. 76. y = -5x ? 20

77. (a)

(b)

78.(b) no (c) examine the slopes 79. t = -0.05x + 4000 80. 130 81. 166

82.

83.

(c)

(b)

(a) (a)

(b) (c)

(d) They are horizontal translations of each other.(d) They are vertical translations of each other. Each

Each graph may be obtained from (a) by moving it 3

graph may be obtained from (a) by moving it 4 units

units to the left or right.

Up or down.

84. (d)

(f) They are each obtained from (a) by moving it 4 units up or down and simultaneously moving it 3 units to the left or right.

(e) (a)

85. The second line is obtained from the first by moving it h units horizontally and k units vertically.

(b) (c)

87. (a) 2x + y = 6 (b) 2x - y = 4 (c) 4x + 3y = 2 88. (25/14, 46/7) 89.

Exercise Set 1.2 1 (a) C(x) = 2500 + 30x, R(x) = 45x, $166.67 (b) 15x - 2500 (c) $266.67 2. It reduces to $80 3. $500 4. $27 5. $33 6. C(x) = 0.4x + 2000, R(x) = 1.2x, P(x) =0.8x-2000, x =2500 7. C(x) = 0.8x +1000, overhead =$1000, Marginal cost = $0.80 8. $30 and $3800. 9.C(x) =0.75x + 4500, R(x) =2.25x (b) $3.90 per item 10. p = 0.006x +22.8 11.A(t) = -950t +10,000. 5.26 yrs. 12. House = $90,000, Land = $10,000

13.

f(-2) = 11/2, f(0) = -3/2, f(2) = 2, f(5) = 8 14.

f(-1) = -3, f(1.5) =1, f(4) = 3 (Either end points may have equality in 14 and 15.) 4

15. 16. -2, 3, 0

f(-2) = 1, f(1.5) = -1.5, f(5) = 7 17. 2,2,3,6,6

18. 1,-1,1,3,1

19. (a) one intersection at (2,1) (b) two intersections at (0, 2) and (10, 6) 20. Three; (1/5, 3/5), (7/3, 5/3), (11/3, 7/3) 21.

22.

23. C(x)

24.

T(19.999) = $116.99, T(20.001) = $123.51 rather earn $19,999 x

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