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A club offers two payment options: Option1: $32 monthly fee plus $3/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. Write a mathematical model , the total monthly cost, C, in terms of x for the following: 1: C=_________________ 2: C=_________________ 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. Round to 3 decimal places .

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Candycane

asked 2 years ago

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If , x = hours per month of court rental time.

Option 1:
C= 32 + 3x

Option 2:
C= 6.5x + 0

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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. Round to 3 decimal places .

Option1 < option 2
32 + 3x < 6.5x
32 < 6.5x-3x
32 < 3.5 x
x > 32/3.5
x > 9.143

that means, 9.143 hours would have to rent the court so monthly cost of option 1, is less than option 2.