The Fun Guys game rental store charges an annual fee of $25 plus $6.50 per game rented. The Game Bank charges an annual fee of $57 plus $2.50 per game.
For how many game rentals will the cost be the same at both stores? What is that cost?
FG----> 25+6.5n, where n is the number of games
GB ---> 57 + 2.5n
25 + 6.5n = 57 + 2.5n
6.5n - 2.5n = 57 - 25
carry on
To determine the number of game rentals at which the cost is the same at both stores, we can set up an equation.
Let's say x represents the number of game rentals.
At Fun Guys game rental store, the cost can be calculated as:
Cost at Fun Guys = Annual fee + (Per game rental fee × Number of game rentals)
Cost at Fun Guys = $25 + ($6.50 × x)
At Game Bank, the cost can be calculated as:
Cost at Game Bank = Annual fee + (Per game rental fee × Number of game rentals)
Cost at Game Bank = $57 + ($2.50 × x)
To find the number of game rentals at which the cost is the same, we can set up the following equation:
$25 + ($6.50 × x) = $57 + ($2.50 × x)
Now, let's solve this equation to find the value of x:
$6.50 × x - $2.50 × x = $57 - $25
$4 × x = $32
x = $32 / $4
x = 8
So, for 8 game rentals, the cost will be the same at both stores. To find the cost, we can substitute the value of x into either of the cost equations.
Cost at Fun Guys = $25 + ($6.50 × 8)
Cost at Fun Guys = $25 + $52
Cost at Fun Guys = $77
Therefore, the cost for 8 game rentals at both stores will be $77.