Question

Shakira needs to rent a car for one day. She can get a Porsche from alpha car rental for $29.17 per day plus 57 cents per mile. She can get the same car from beta car rental for $50.23 per day plus 44 cents per mile. At what what number of miles are alpha and beta the same price?

Answer 1

Shakira needs to rent a car for one day and she is trying to decide which car rental company to use. Alpha Car Rental offers a Porsche for $29.17 per day, plus 57 cents per mile. Beta Car Rental also offers the same car for $50.23 per day, plus 44 cents per mile.

To determine which car rental is a better deal, Shakira needs to calculate at what number of miles the prices for both Alpha and Beta Car Rental are the same. To do this, she can use the following equation:

50.23 - 29.17 = x (44 - 57)

The variable of x is the number of miles. This equation simplifies to x = 21.06 miles. Therefore, at 21.06 miles, Alpha and Beta Car Rental will be the same price.

Hope this helps! Have a nice day. :)