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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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