The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game rented. The Game Bank charges an annual fee of $35 plus $2.50 per game. For how many game rentals will the cost be the same at both stores? What is that cost?10 games; $609 games; $554 games; $278 games; $49

Answer:10 games; $60Step-by-step explanation:Let x represent the number of games rented at either stores. Let y represent the cost of renting x games at Fun guys rental. Let z represent the cost of renting x games at Games bank.The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game rented. The cost of x games will be y = 5 + 5.5xThe Game Bank charges an annual fee of $35 plus $2.50 per game.The cost of x games will be z = 35 + 2.5xSince we want to determine the number of games that will be played for the costs to be the same, we would equate y to z. It becomes5 + 5.5x = 35 + 2.5x5.5x - 2.5x = 35 - 53x = 30x = 30/3 = 10They will make 10 games rentals before the costs become the same.To find the cost of 10 games, we will substitute x = 10 into one of the equations, it becomes5 + 5.5× 10 = 5 + 55 = $60