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A tennis club offers two payment options........

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

Solution Preview

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Please find attached the solution properly described below.

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Let x be the number of hours. Then,

Option 1: C = 35 + 4x. (35 is the fixed monthly rent and 4 is the amount for every hour.)

Option 2: C= 6.50x (6.5 is the amount need to be paid for every hour. There is no monthly rent in this ...

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