he monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her driving cost was $380 for 480 mi and in June her cost was $450 for 830 mi. Assume that there is a linear relationship between the monthly cost Cof driving a car and the distance x driven. (a) Find a linear function C that models the cost of driving x miles per month. Cx) = (b) Draw a graph of C. 600 600 500 500 400 400 300 300 200 200 100 100 200 400 600 800 1000 1200 1400 200 400 600 800 1000 1200 1400 600 600 500 500 400 400 300 300 200 200 100 100 200 400 600 800 1000 1200 1400 200 400 600 800 1000 1200 1400 What is the slope of this line? (c) At what rate does Lynn's cost increase for every additional mile she drives? per mi

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.5: Linear Functions And Models
Problem 50E: Manufacturing Cost The manager of a furniture factory finds that it costs $2200 to produce 100...
icon
Related questions
Question
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her driving cost was $380 for 480 mi and in June her cost was $450 for 830 mi. Assume that there is a linear relationship between the monthly cost C of driving a car and the distance x driven.
(a) Find a linear function C that models the cost of driving x miles per month.
C(x) =
(b) Draw a graph of C.
600
600
500
500
400
400
300
300
200
200
100
100
200 400
600
800 1000 1200 1400
200 400
600 800 1000 1200 1400
с
600
600
500
500
400
400
300
300
200
200
100
100
200
400
600
800 1000 1200 1400
200
400 600 800 1000 1200 1400
What is the slope of this line?
(c) At what rate does Lynn's cost increase for every additional mile she drives?
per mi
Transcribed Image Text:The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her driving cost was $380 for 480 mi and in June her cost was $450 for 830 mi. Assume that there is a linear relationship between the monthly cost C of driving a car and the distance x driven. (a) Find a linear function C that models the cost of driving x miles per month. C(x) = (b) Draw a graph of C. 600 600 500 500 400 400 300 300 200 200 100 100 200 400 600 800 1000 1200 1400 200 400 600 800 1000 1200 1400 с 600 600 500 500 400 400 300 300 200 200 100 100 200 400 600 800 1000 1200 1400 200 400 600 800 1000 1200 1400 What is the slope of this line? (c) At what rate does Lynn's cost increase for every additional mile she drives? per mi
Expert Solution
Step 1

Given query is to find the linear relationship , slope and the graph.

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell