SOLUTION: a local computer center charges nonmembers $5 per session to use the media center.if you pay a membership fee of $25, you payonly $3 a session. Write an equation and interpret the

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Question 159780: a local computer center charges nonmembers $5 per session to use the media center.if you pay a membership fee of $25, you payonly $3 a session. Write an equation and interpret the solution.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Let "x" as number sessions to use media center.
RATE 1:
($5.00/ses) (x)
RATE 2:
($25)+($3.00)(x)
If you equate the 2 RATES, you'll find out how many sessions will justify if you pay one time fee of $25.00
.
RATE 1 = RATE 2
5x=25%2B3x
5x-3x=25
2x=25 ---> cross%282%29x%2Fcross%282%29=cross%2825%2912.5%2Fcross%282%29
x=12.5ses See this, it's 12.5 sessions you take. Why there's 0.5?
If 1 session takes 1 hour, then total sessions= 12 hours & 30 minutes. (0.50=1/2 of 1 hour)
Let's see.
RATE 1:= 5%2A12.5=62.50
RATE 2:= 25%2B3%2A12.5=25%2B37.50=62.50
You see, either RATE is okay if you go 12.5 sessions. But if you go over this, paying memberhsip is a better choice - RATE 2. Try 15 sessions to the eqn? You'll see.
Thank you,
Jojo