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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 1.95 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
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
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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