Customers have two options when renting video games from a rental store. Plan A requires a $5 monthly fee and a $1 per video rental. Plan B requires $8 monthly fee and $0.75 per video rental. How many video rentals would be required each months for the plans to cost the same?
12
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12
X=12
To find out how many video rentals would be required each month for the plans to cost the same, we need to set up an equation.
Let's denote the number of video rentals per month as "x".
For Plan A, the cost can be calculated as follows:
Cost_A = $5 (monthly fee) + $1 (per video rental) * x (number of rentals)
For Plan B, the cost can be calculated as follows:
Cost_B = $8 (monthly fee) + $0.75 (per video rental) * x (number of rentals)
We want to find the value of "x" for which Cost_A equals Cost_B.
Setting up the equation:
$5 + $1 * x = $8 + $0.75 * x
Now, we can solve for "x":
$1 * x - $0.75 * x = $8 - $5
0.25 * x = $3
x = $3 / 0.25
x = 12
Therefore, for the plans to cost the same, the customer would need to rent 12 videos per month.
you want
5+1.00x = 8+0.75x