Question

Customers have two options when renting video games from a rental store. Plan A

requires a $5 monthly fee and $1 per video rental. Plan B requires an $8 monthly fee
and $0.75 per video rental. How many video rentals would be required each month
for the plans to cost the same amount?
A.8 video rentals
B.10 video rentals
C.12 video rentals
D.16 video rentals

Answer 1

By setting up an equation for the cost of both rental plans and solving for the number of rentals, it is determined that 12 video rentals are needed for Plan A and Plan B to cost the same amount.

Step-by-step explanation:

To find how many video rentals are needed for both rental store plans to cost the same amount, we set up an equation where the total cost of Plan A equals the total cost of Plan B. Let's define x as the number of video rentals.

For Plan A, the cost each month is the $5 monthly fee plus $1 per rental, this would be represented as 5 + x. For Plan B, the cost each month is the $8 monthly fee plus $0.75 per rental, this would be represented as 8 + 0.75x.

To find when they are equal we set up the equation: 5 + x = 8 + 0.75x

To solve for x, we rearrange the equation:

1. 
   
2. Subtract 0.75x from both sides: 5 + 0.25x = 8
3. 
   
4. Subtract 5 from both sides: 0.25x = 3
5. 
   
6. Divide both sides by 0.25: x = 3 / 0.25
7. 
   
8. Simplify: x = 12

Therefore, it would require 12 video rentals for the plans to cost the same amount.