Make a model to solve the problem. Should you consider fuel efficiency, measured in miles per gallon, when buying a new car? Suppose that car A costs $23,000 and gets 20 mi/gal, whereas car B costs $28,000 but gets 25 mi/gal. Further, assume that the price of gasoline is $4/gal and that you plan to drive the car for m mi. Taking into account price and fuel efficiency only, complete the following. (a) Write an expression CA for the cost of car A. CA = (b) Write an expression CB for the cost of car B. CB = (c) How many total miles m would you have to drive so that the cost is the same for both cars? mi

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 11P
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Make a model to solve the problem.
Should you consider fuel efficiency, measured in miles per gallon, when buying a new car? Suppose that car A costs $23,000 and gets 20
mi/gal, whereas car B costs $28,000 but gets 25 mi/gal. Further, assume that the price of gasoline is $4/gal and that you plan to drive
the car for m mi. Taking into account price and fuel efficiency only, complete the following.
(a) Write an expression CA for the cost of car A.
CA =
(b) Write an expression CB for the cost of car B.
CB =
(c) How many total miles m would you have to drive so that the cost is the same for both cars?
mi
Transcribed Image Text:Make a model to solve the problem. Should you consider fuel efficiency, measured in miles per gallon, when buying a new car? Suppose that car A costs $23,000 and gets 20 mi/gal, whereas car B costs $28,000 but gets 25 mi/gal. Further, assume that the price of gasoline is $4/gal and that you plan to drive the car for m mi. Taking into account price and fuel efficiency only, complete the following. (a) Write an expression CA for the cost of car A. CA = (b) Write an expression CB for the cost of car B. CB = (c) How many total miles m would you have to drive so that the cost is the same for both cars? mi
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