Set up a system of linear equations in two variables that models the problem. Then solve the system of linear equations. A car rental agency "Company A" rents cars for $40 daily plus $0.20 per mile. Another car agency "Company B" will rent the same car for $52 daily plus $0.12 per mile. On Liza's trip to Houston, she decides to rent a car. Determine the number of miles for which the cost of the car rental will be the same for both companies. If Liza plans to drive the car for 500 miles, which company should she use?

Set up a system of linear equations in two variables that models the problem. Then solve the system of linear equations. A car rental agency "Company A" rents cars for $40 daily plus $0.20 per mile. Another car agency "Company B" will rent the same car for $52 daily plus $0.12 per mile. On Liza's trip to Houston, she decides to rent a car. Determine the number of miles for which the cost of the car rental will be the same for both companies. If Liza plans to drive the car for 500 miles, which company should she use?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Set up a system of linear equations in two variables that models the problem. Then solve the system of linear equations.
K
A car rental agency "Company A" rents cars for $40 daily plus $0.20 per mile. Another car agency "Company B" will rent the same car for $52 daily plus $0.12 per mile. On Liza's trip to Houston, she
decides to rent a car. Determine the number of miles for which the cost of the car rental will be the same for both companies. If Liza plans to drive the car for 500 miles, which company should she use?
Let m represent the miles traveled by the car and C represent the fixed cost of the renting the car.
(Do not include the $ symbol in your answers.)
The equation C =
The equation C =
represents the cost of the car rental by "Company A."
represents the cost of the car rental by "Company B."

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