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Section 3.6 Nonlinear Models 255
35. ––CONTINUED––
(b)
300
4 14
0
Linear model: Logarithmic model: Quadratic model:
300
300
300
4 14
0
Exponential model:
4 14
0
Power model:
4 14
0
300
300
4 14
0
4 14
0
(c) Linear: 803.9
Logarithmic: 411.7
Quadratic: 289.8 (Best)
Exponential: 1611.4
Power: 667.1
(d) Linear: 0.9485
Logarithmic: 0.9736
Quadratic: 0.9814 (Best)
Exponential: 0.9274
Power: 0.9720
(e) Quadratic model is best.
36. Answers will vary. 37. True 38. False. Write b as b e ln b .
Then,
y ab x ae ln bx ae cx .
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39.
2x 5y 10 40.
Slope:
y-intercept:
0, 2
5
4
3
1
5y 2x 10
y
y 2 5 x 2
2 5
−2 −1
−1
1 2 3 4 5
−2
−3
x
3x 2y 9
Slope:
y-intercept:
2
1
y
y 3 2 x 9 2
3
2
0, 9 2
−2 −1
−1
1 2 3 4 5 6
−2
−3
−4
x