Answer: it would take 4 game rentals for the cost to be the same at both stores.
Explanation:
Let x represent the number of game rentals for which the cost would be the same at both stores.
The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game rented. It means that the cost of renting x games at this store is
5 + 5.5x
The Game Bank charges an annual fee of $17 plus $2.50 per game. It means that the cost of renting x games at this store is
17 + 2.5x
For the cost to be the same at both stores, the number of game rentals would be
5 + 5.5x = 17 + 2.5x
5.5x - 2.5x = 17 - 5
3x = 12
x = 12/3
x = 4