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Applications of linear equations.

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.

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