Question 96784: 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 here:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A tennis club offers two payment options:
Option 1: $35 monthly fee plus $4/hour for court rental
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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= 35 + 4x
Option 2: C= 6.5x
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.
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EQUATION:
35+4x < 6.5x
35 < 2.5x
x > 14 hours
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Cheers,
Stan H.
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