Q:

The Bright Star Video Club offers the two membership plans described below.Plan A: $50 yearly membership fee and $2 for each video rental Plan B: $10 yearly membership fee and $4 for each video rental Greg is planning to enroll in one of these plans. For how many video rentals would the total cost of Plan A be equal to the total cost of Plan B? A. 50 B. 20 C. 30 D. 40

Accepted Solution

A:
To solve this, you need to create two separate equations and set them equal to each other.

Plan A: y = 2x + 50
Plan B: y = 4x + 10

2x + 50 = 4x + 10

Now solve the combined equation.

2x + 50 = 4x + 10
      - 10          - 10 
 2x + 40 = 4x
-2x           -2x
40 = 2x
x = 20