The following table shows the distance D, in miles, that you can drive on $1 worth of gas as a function of the cost g, in dollars, of a gallon of gas. Cost g Distance D 1.95 11.3 1.65 1.75 1.85 2.05 13.3 12.6 11.9 10.7 (a) Find a power model for the data. (Round the regression parameters to two decimal places.) D = 22.02g-1.00 D = 15.59-0.98 OD = 30.46-1.65 D= 18.45g-1.45 D = 26.54g-2.00 (b) If the price of gas increases by 50%, what happens to the distance you can drive on $1 worth of gas? (Use the model found in part (a). To solve this problem, recall the homogeneity property of power functions, which states that for a power function f= ot, if x is increased by a factor of t, then f is increased by a factor of t. Round your answer to two decimal places.) The distance you can drive is decreased by D ]x %. (c) What is your gas mileage (measured in miles per gallon)? (Hint: what distance can you drive if a gallon of gas costs $1? Use the model found in part (a). Round your answer to two decimal places.) 22.02
The following table shows the distance D, in miles, that you can drive on $1 worth of gas as a function of the cost g, in dollars, of a gallon of gas. Cost g Distance D 1.95 11.3 1.65 1.75 1.85 2.05 13.3 12.6 11.9 10.7 (a) Find a power model for the data. (Round the regression parameters to two decimal places.) D = 22.02g-1.00 D = 15.59-0.98 OD = 30.46-1.65 D= 18.45g-1.45 D = 26.54g-2.00 (b) If the price of gas increases by 50%, what happens to the distance you can drive on $1 worth of gas? (Use the model found in part (a). To solve this problem, recall the homogeneity property of power functions, which states that for a power function f= ot, if x is increased by a factor of t, then f is increased by a factor of t. Round your answer to two decimal places.) The distance you can drive is decreased by D ]x %. (c) What is your gas mileage (measured in miles per gallon)? (Hint: what distance can you drive if a gallon of gas costs $1? Use the model found in part (a). Round your answer to two decimal places.) 22.02
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The following table shows the distance D, in miles, that you can drive on $1 worth of gas as a function of the cost g, in dollars, of a gallon of gas.
Cost g
Distance D
1.65
1.75
1.85
1.95
2.05
13.3
12.6
11.9
11.3
10.7
(a) Find a power model for the data. (Round the regression parameters to two decimal places.)
D = 22.02g-1.00
D = 15.59-0.98
D = 30.46-1.65
D = 18.45g-1.45
D = 26.54g-2.00
(b) If the price of gas increases by 50%, what happens to the distance you can drive on $1 worth of gas? (Use the model found in part (a). To solve this
problem, recall the homogeneity property of power functions, which states that for a power function f = ok, if x is increased by a factor of t, then f is
increased by a factor of . Round your answer to two decimal places.)
The distance you can drive is decreased by 0
X %.
(c) What is your gas mileage (measured in miles per gallon)? (Hint: What distance can you drive if a gallon of gas costs $1? Use the model found in part
(a). Round your answer to two decimal places.)
22.02](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc70e1a3b-5c7d-4d37-82d2-fab13444c95a%2F28bc3367-1240-437c-a423-00e52e7adff5%2Fool6b2q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The following table shows the distance D, in miles, that you can drive on $1 worth of gas as a function of the cost g, in dollars, of a gallon of gas.
Cost g
Distance D
1.65
1.75
1.85
1.95
2.05
13.3
12.6
11.9
11.3
10.7
(a) Find a power model for the data. (Round the regression parameters to two decimal places.)
D = 22.02g-1.00
D = 15.59-0.98
D = 30.46-1.65
D = 18.45g-1.45
D = 26.54g-2.00
(b) If the price of gas increases by 50%, what happens to the distance you can drive on $1 worth of gas? (Use the model found in part (a). To solve this
problem, recall the homogeneity property of power functions, which states that for a power function f = ok, if x is increased by a factor of t, then f is
increased by a factor of . Round your answer to two decimal places.)
The distance you can drive is decreased by 0
X %.
(c) What is your gas mileage (measured in miles per gallon)? (Hint: What distance can you drive if a gallon of gas costs $1? Use the model found in part
(a). Round your answer to two decimal places.)
22.02
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