e monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $438 to drive 420 mi and in June it cost her $558 to drive 720 mi. (a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model. C(d) = (b) Use part (a) to predict the cost of driving 1700 miles per month. $ (c) Draw the graph of the linear function. с 1000 000 с 1000 000
e monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $438 to drive 420 mi and in June it cost her $558 to drive 720 mi. (a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model. C(d) = (b) Use part (a) to predict the cost of driving 1700 miles per month. $ (c) Draw the graph of the linear function. с 1000 000 с 1000 000
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question

Transcribed Image Text:The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $438 to drive 420 mi and in June it cost her $558 to drive 720 mi.
(a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model.
C(d) =
(b) Use part (a) to predict the cost of driving 1700 miles per month.
$
(c) Draw the graph of the linear function.
C
с
O
1000
800
600
O
400
200
1000
800
600
400
200
200
400 600
200 400
800 1000
600
d
1000
800
LL
600
400
200
800 1000
1000
800
600
400
200
200 400
U
600
800
1000
200 400 600 800 1000
d
d

Transcribed Image Text:What does the slope represent?
O It represents the cost (in dollars) per mile.
It represents the distance (in miles) traveled.
It represents the cost (in dollars) of driving.
It represents the fixed cost (amount she pays even if she does not drive).
2
(d) What does the C-intercept represent?
It represents the fixed cost (amount she pays even if she does not drive).
It represents the cost (in dollars) per mile.
It represents the distance (in miles) traveled.
It represents the cost (in dollars) of driving.
(e) Why does a linear function give a suitable model in this situation?
O A linear function is suitable because the monthly cost increases even if the miles driven is constant.
A linear function is suitable because the monthly cost is fixed despite the fact that the miles driven may vary.
A linear function is suitable because the monthly cost increases as the number of miles driven increases.
A linear function is suitable because the monthly cost increases as the number of miles driven decreases.
d Help?
D
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 6 images

Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning