Answer:
4 miles
Step-by-step 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.
