Ask Question

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

+2
Answers (2)
  1. 15 June, 09:21
    0
    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
  2. 15 June, 09:35
    0
    You can either graph the following equations,

    Plan A: y=2x+50

    Plan B: y=4x+10

    and see where they intersect, and that will give you the answer.

    OR

    You can substitute each answer for x, like this,

    A. 50

    Plan A:

    y=2 (50) + 50

    y=100+50

    y=150

    Plan B:

    y=4x+10

    y=4 (50) + 10

    y=200+10

    y=210

    So, therefore, A. 50 is not the answer.

    B. 20

    Plan A:

    y=2x+50

    y=2 (20) + 50

    y=40+50

    y=90

    Plan B:

    y=4x+10

    y=4 (20) + 10

    y=80+10

    y=90

    So, B. 20 is correct but always check the rest of the answers. Just in case

    C. 30

    Plan A:

    y=2x+50

    y=2 (30) + 50

    y=60+50

    y=110

    Plan B:

    y=4x+10

    y=4 (30) + 10

    y=120+10

    y=130

    So, C. 30 is incorrect.

    D. 40

    Plan A:

    y=2x+50

    y=2 (40) + 50

    y=80+50

    y=130

    Plan B:

    y=4x+10

    y=4 (40) + 10

    y=160+10

    y=170

    So, in conclusion the correct answer is B. 20.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The Bright Star Video Club offers the two membership plans described below. Plan A: $50 yearly membership fee and $2 for each video rental ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers