5)A tennis club offers two payment options:Option1: $35 monthly fee plus $4/hour

5)A tennis club offers two payment options:Option1: $35 monthly fee plus $4/hour for court rentalOption 2: No monthly fee but $6.50/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 that 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:Show your work here: