You play basketball in your schools indoor stadium. You have two payment options. Option A is to buy a membership card and pay $2 every time you go to the gym. Option B is to pay $4 each time you go. A membership card cost $20. After how many times will the cost of option A be equal to the cost of option B?

Question

Mathematics

Barrett Skinner

9 October, 04:54

You play basketball in your schools indoor stadium. You have two payment options. Option A is to buy a membership card and pay $2 every time you go to the gym. Option B is to pay $4 each time you go. A membership card cost $20. After how many times will the cost of option A be equal to the cost of option B?

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Answers (1)

Know the Answer?

Keira Roth · Answer 1

Step-by-step explanation:

Assuming that for each option, you play the same number of games, x

Let y represent the cost of playing x games using option A

Option A is to buy a membership card and pay $2 every time you go to the gym. The membership card costs $20. It means that

y = 20 + 2x

Let z represent the cost of playing x games using option B

Option B is to pay $4 each time you go. It means that

z = 4x

To determine how many games will be played before cost of option A equal to the cost of option B, we would equate y to z. It becomes

20 + 2x = 4x

4x - 2x = 20

2x = 20

x = 20/2 = 10

It will take 10 games for both to be the same