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,...
Related questions
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."](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F927cd1a7-def9-4cae-9a6b-5b6c0ecea9b1%2F087722a8-b1c6-45ed-9926-1dc7cd1e16d5%2Fpo6vmn_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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