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 If Liza plans to drive the car for 200 miles, which company should companies. 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 If Liza plans to drive the car for 200 miles, which company should companies. she use?
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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Transcribed Image Text: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 200 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= 40 +0.20m represents the cost of the car rental
by "Company A."
The equation C= 52 +0.12m represents the cost of the car rental
by "Company B."
What is the number of miles for which the cost of the car rental will be the same
for both companies?
At miles, the cost of driving is the same for both companies, which is $
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