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
icon
Related questions
Question
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.)
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.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Time Series Analyses, Forecasting Methods, and Indices
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman