Question

A video game store allows customers to rent games for $4.75 each. Customers can also buy a membership for $54 each year, and video games would then only cost $2.50 each to rent. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal.

Answer 1

24

Explanation:

Cost of membership + game = 2.50x + 54

Cost of just games = 4.75x

The catch is, how do we make up the 54 dollars?

So equate the 2 costs

4.75x = 2.50x + 54 Subtract 2.50

4.75x - 2.50x = 54 Combine

2.25x = 54 Divide by 2.25

x = 54/2.25

x = 24

That means that 24 is the break even point.