SOLUTION: 5) A tennis club offers two payment options: Option 1: $42 monthly fee plus $5/hour for court rental Option 2: No monthly fee but $8.50/hour for court rental. Let x = hours p

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Question 154600: 5) A tennis club offers two payment options:
Option 1: $42 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.
a) Write a mathematical model representing the total monthly cost, C, in terms of x for the following:
Option 1: C=_________________
Option 2: C=_________________
b) 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 oscargut(2103)   (Show Source): You can put this solution on YOUR website!
a)
Option 1: C=____42+5x_____________
Option 2: C=____8.5x_____________
b) 42+5x<8.5x
then 42<3.5x
then 12 Answer: you have to rent it for more than 12 hours

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