Question

Hey small truck can be rented from Ralph's rentals for a fee of $30 +5 dollars per mile the same size truck can be rented from Rickies rentals for a fee of $22 +7 dollars per mile after how many miles would the cost of renting a small truck be the same for both companies

Answer 1

4 miles

Explanation:

A small truck can be rented from Ralph's rentals for a fee of $30 plus 5 dollars per mile.

If the total distance (in miles) traveled in both trucks is x, then, the cost of renting from Ralph's rentals is:

C = 30 + 5x

The same size truck can be rented from Rickies rentals for a fee of $22 plus 7 dollars per mile. This implies that the cost of renting from Rickies rentals is:

C(R) = 22 + 7x

C(R) and C will be the same when:

30 + 5x = 22 + 7x

Collecting like terms and simplifying:

30 - 22 = 7x - 5x

8 = 2x

=> x = 8 / 2 = 4 miles

The cost of renting the small truck from both companies will be the same after traveling 4 miles.