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 1.65 1.75 1.85 Distance D 13.3 12.6 11.9| 11.3 10.7 1.95 2.05 (a) Find a power model for the data. (Round the regression parameters to two decimal places.) O D- 30,46-1.65 D = 15.59-0.98 D = 18.45g1.45 O D = 26.54g-2.00 • D= 22.02g-1.00 (b) If the price of gas increases by 20%, 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 = cx*, if x is increased by a factor of t, then f is increased by a factor of tk. Round your answer to two decimal places.) The distance you can drive is decreased by %. (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
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 1.65 1.75 1.85 Distance D 13.3 12.6 11.9| 11.3 10.7 1.95 2.05 (a) Find a power model for the data. (Round the regression parameters to two decimal places.) O D- 30,46-1.65 D = 15.59-0.98 D = 18.45g1.45 O D = 26.54g-2.00 • D= 22.02g-1.00 (b) If the price of gas increases by 20%, 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 = cx*, if x is increased by a factor of t, then f is increased by a factor of tk. Round your answer to two decimal places.) The distance you can drive is decreased by %. (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
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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
1.65
1.75
1.85
1.95
2.05
Distance D
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 = 30,46-1.65
D = 15.59-0.98
D = 18.45g-1.45
D = 26.54g¯
-2.00
D = 22.02g1.00
(b) If the price of gas increases by 20%, 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 = cx*, if x is increased by a factor of t, then f is increased by a factor of tk. Round your answer to two decimal places.)
The distance you can drive is decreased by
%.
(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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74894f78-ccb5-452f-bebb-59c8a1f546c3%2F829fa40d-fa1d-4479-9ac4-d5818178ac4b%2Fxyl1w4k_processed.png&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
1.65
1.75
1.85
1.95
2.05
Distance D
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 = 30,46-1.65
D = 15.59-0.98
D = 18.45g-1.45
D = 26.54g¯
-2.00
D = 22.02g1.00
(b) If the price of gas increases by 20%, 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 = cx*, if x is increased by a factor of t, then f is increased by a factor of tk. Round your answer to two decimal places.)
The distance you can drive is decreased by
%.
(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.)
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