Assume the gasoline version of a Honda Civic costs $21,000 and gets 35 MPG while the hybrid version costs $26,500 and gets 47 MPG. Assume you drive 11,000 miles per year and gasoline costs $2.90 per gallon. Let G be the purchase cost plus the gasoline cost for x years of the gasoline versions and H be the purchase cost plus the gasoline cost for x years for the hybrid version of the Civic. a. Give G and H as equations in terms of x. b. Give the graphs of the equations from (a) on the rectangular coordinate axes system using a horizontal axis scaled in years from 0 to 50 and a vertical axis scaled in dollars from $20,000 to $50,000. c. How many years will be required to break even on the extra cost of the hybrid? What part of the graph exhibits this answer?
Assume the gasoline version of a Honda Civic costs $21,000 and gets 35 MPG while the hybrid version costs $26,500 and gets 47 MPG. Assume you drive 11,000 miles per year and gasoline costs $2.90 per gallon. Let G be the purchase cost plus the gasoline cost for x years of the gasoline versions and H be the purchase cost plus the gasoline cost for x years for the hybrid version of the Civic. a. Give G and H as equations in terms of x. b. Give the graphs of the equations from (a) on the rectangular coordinate axes system using a horizontal axis scaled in years from 0 to 50 and a vertical axis scaled in dollars from $20,000 to $50,000. c. How many years will be required to break even on the extra cost of the hybrid? What part of the graph exhibits this answer?
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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Question
![Assume the gasoline version of a Honda Civic costs $21,000 and gets 35 MPG
while the hybrid version costs $26,500 and gets 47 MPG. Assume you drive 11,000
miles per year and gasoline costs $2.90 per gallon. Let G be the purchase cost plus
the gasoline cost for x years of the gasoline versions and H be the purchase cost
plus the gasoline cost for x years for the hybrid version of the Civic.
a. Give G and H as equations in terms of x.
b. Give the graphs of the equations from (a) on the rectangular coordinate axes
system using a horizontal axis scaled in years from 0 to 50 and a vertical axis
scaled in dollars from $20,000 to $50,000.
c. How many years will be required to break even on the extra cost of the hybrid?
What part of the graph exhibits this answer?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe7a1580d-b0b0-434b-847e-741d03f01d82%2Fd2a48d3b-903c-4aca-b0b6-f01fe4115075%2Ft3z362o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Assume the gasoline version of a Honda Civic costs $21,000 and gets 35 MPG
while the hybrid version costs $26,500 and gets 47 MPG. Assume you drive 11,000
miles per year and gasoline costs $2.90 per gallon. Let G be the purchase cost plus
the gasoline cost for x years of the gasoline versions and H be the purchase cost
plus the gasoline cost for x years for the hybrid version of the Civic.
a. Give G and H as equations in terms of x.
b. Give the graphs of the equations from (a) on the rectangular coordinate axes
system using a horizontal axis scaled in years from 0 to 50 and a vertical axis
scaled in dollars from $20,000 to $50,000.
c. How many years will be required to break even on the extra cost of the hybrid?
What part of the graph exhibits this answer?
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