the fun guys game was rental store charges an annual fee of $5 plus $5.50 per game rented. the game bank charges an annual gee of $17 plus $2.50 per game. for how many game rentals will the cost be the same at both stores? what is the cost?
To find the number of game rentals for which the cost is the same at both stores, we need to set up an equation.
Let's assume the number of game rentals is represented by "x".
The cost at the Fun Guys game rental store can be calculated using the formula:
Cost at Fun Guys = Annual Fee + (Cost per game * Number of game rentals)
Cost at Fun Guys = $5 + ($5.50 * x)
The cost at the Game Bank can be calculated using the formula:
Cost at Game Bank = Annual Fee + (Cost per game * Number of game rentals)
Cost at Game Bank = $17 + ($2.50 * x)
Now, we can set up the equation to find the number of game rentals for which the cost is the same at both stores:
$5 + ($5.50 * x) = $17 + ($2.50 * x)
To solve this equation, we can simplify it:
$5.50x - $2.50x = $17 - $5
$3x = $12
Dividing both sides of the equation by 3 gives us:
x = $12 / $3
x = 4
So, the cost will be the same at both stores when 4 games are rented.
To find the cost, substitute the value of x into either one of the cost formulas. Let's use the formula for Fun Guys:
Cost at Fun Guys = $5 + ($5.50 * 4)
Cost at Fun Guys = $5 + $22
Cost at Fun Guys = $27
Therefore, the cost will be $27 when 4 games are rented at both stores.
5 + 5.5x = 17 + 2.5x
Solve for x.