Problema Solution
Best Car rental agency charges a flat rate of $40 and 10¢ per mile to rent a standard car. A+ Rentals charges a flat rate of $35 and 20¢ per mile for the same car.
a. Write an equation to represent the total cost (y) and number of miles (x) of renting from each company.
b. If you plan to rent a car and travel 500 miles, which plan would you choose and why? Show your work.
c. How many miles do you need to drive for both plans to cost the same?
Answer provided by our tutors
10 cents = $0.1
20 cents = $0.2
a. Write an equation to represent the total cost (y) and number of miles (x) of renting from each company.
Best Car: y = 40 + 0.1x
A+ Rentals: y = 35 + 0.2x
b. If you plan to rent a car and travel 500 miles, which plan would you choose and why?
Best Car: y = 40 + 0.1*500 = 40 + 50 = $90
A+ Rentals: y = 35 + 0.2*500 = 35 + 100 = $135
Since 90$ < $135 I'd chose Best Car rental agency.
c. How many miles do you need to drive for both plans to cost the same?
if both plans cost the same we have the following equation
40 + 0.1x = 35 + 0.2x
by solving we find
x = 50 miles
click here to see the step by step solution of the equation
The two plans will cost the same if you drive exactly 50 miles.