Question

The Fun Guys game rental-store charges an annual fee of $15 plus $6.50 per game rented. The Game Bank charges an annual fee of $27 plus $4.50 per game. for how many game rentals will the cost be the same at both stores?

Answer 1

The cost for renting games will be the same at both The Fun Guys and The Game Bank when 6 games are rented.

Step-by-step explanation:

To determine for how many game rentals the cost will be the same at both stores, we can set up an equation where the total cost for renting games from The Fun Guys is equal to the total cost from The Game Bank. The Fun Guys game rental-store charges an annual fee of $15 plus $6.50 per game rented, while The Game Bank charges an annual fee of $27 plus $4.50 per game.

Let's call the number of games rented 'x'. So our equation to determine when the costs will be the same is:

15 + 6.50x = 27 + 4.50x

To solve for 'x', we will subtract 4.50x from each side to get:

15 + 6.50x - 4.50x = 27 + 4.50x - 4.50x

Which simplifies to:

15 + 2x = 27

And then we subtract 15 from each side to isolate the variable:

2x = 27 - 15

2x = 12

Dividing by 2, we find that 'x' equals:

x = 12 / 2

x = 6

Therefore, the cost for renting games will be the same at both The Fun Guys and The Game Bank when 6 games are rented.