SOLUTION: A tennis club offers two payments: Option 1: $42.00 monthly fee plus $5/hour for court rental. Option 2: No monthly fee but $8.50/hour for court rental. Let x=hours per mont

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Question 175845: A tennis club offers two payments:
Option 1: $42.00 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 using information in part A.
Answer by Mathtut(3670) (Show Source):
You can put this solution on YOUR website!
a)x=hours per month of court rental time
:
option 1:C=5x+42
:
option 2:C=8.5x
:
b)
you want option 1 to be less than option 2
:
5x+42<8.5x
:
-3.5x<-42.......subtracted 8.5x and 42 from both sides
:
.....divided by -3.5 and remember when multiplying or dividing by a negative in an inequality equation, you must reverse the inequality