Question

The Fun Guys game rental store charges an annual fee of $20 plus $6.50 per game rented. The Game Bank charges an annual fee of $50 plus $3.50 per game. For how many game rentals will the cost be the same at both stores? What is that cost?

Answer 1

In order to find the breakeven number of game rentals, we need to find the point at which the costs are equal. To do this, we set two expressions as a function of the number of games, equate them, and solve.
For Fun Guys, cost C = 20 + 6.5g, where g is the number of games
For Game Bank, C = 50 + 3.5g
Equating -> 20 + 6.5g = 50 + 3.5g -> 3g = 30 -> g = 10
At 10 games, the cost will be the same for both stores, and that cost is 50 + 3.5* 10 = 20 + 6.5*10 = $85.