SOLUTION: A tennis club offers two payment options... Option 1: $42.00 monthly fee plus $5/hour for court rental Option 2: No monthly fee but $8.50/hour for court rental Let x= hour

Question 194394: A tennis club offers two payment options...
Option 1: $42.00 monthly fee plus $5/hour for court rental
Option 2: No monthly fee but $8.50/hour for court rental
Let x= hours per month of court rental time.
Write a mathematical model representing the total monthly cost, C, in terms of x for the following:
Option 1: C=
Option 2: C=
How many hours would you have to rent the court so the monthly cost of option 1 is less than option 2? Set up an inequality and show your work algebraically using the information in part a.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
Opt.1=42+5x
Opt.2=8.5x
42+5x<8.5x
5x-8.5x<-42
-3.5x=-42
x>-42/-3.5 ( note: when dividing by a negative value the < sign changes to a > sign).
x>12 hours of court rental would make the 2 payments equal.
Let the hours be =13.
42+5*13<8.5*13
42+65<110.5
107<110.5 Thus Opt. 1 is cheaper than Opt. 2.

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