Please Solve This Question?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.
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Mathematical model representing the total monthly cost
For first option : C= 4x + 35
For second option : C= 6.5x + 0
Solution of b)
Option 1 < Option 2
4x + 35 < 6.5x
35 < 6.5x - 4x
35 <2.5x
35/2.5
14
I will have to rent the court for 14 hour/day so that the monthly cost of option 1, is less than option 2
For first option : C= 4x + 35
For second option : C= 6.5x + 0
Solution of b)
Option 1 < Option 2
4x + 35 < 6.5x
35 < 6.5x - 4x
35 <2.5x
35/2.5
14
I will have to rent the court for 14 hour/day so that the monthly cost of option 1, is less than option 2
1
3
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answered 2 years ago
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