# Math

posted by .

A local computer center charges non-members \$5.00 per session to use the media center. If you pay a membership fee of \$25, you pay only \$3 per session. Write an equation that can help you decide whether to become a member then solve the equation and interpret the solution.

• Math -

You save \$2 per session. How many sessions do you have to have to equal or exceed your membership fee?

I hope this helps. Thanks for asking.

• Math -

C1 = 5x (non-members)
C2 = 3x + 25 (members)

So by equating these two functions, we can find out for how many sessions (x) it would be better to become a member.

5x = 3x + 25
2x = 25
x = 12.5 (12 or 13, we can't have half a session)

check: for 13 sessions
C1 = 65
C2 = 64

So for 13 or more sessions it would be cheaper to become a member, for sessions less than 13 the "pay-as-you-go" plan would be cheaper.

BTW Amber, it is not a good idea to use your full name on a public webpage like this. Your first name or some nickname is sufficient.