SOLUTION: Could you please help me solve this equation A tennis club offers two monthly payments options: Option1: $42 monthly fee plus $5/hour for court rental option2: No monthly fee

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Question 119489This question is from textbook Blitzer College Algebra
: Could you please help me solve this equation
A tennis club offers two monthly payments options:
Option1: $42 monthly fee plus $5/hour for court rental
option2: 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 montly cost of option 1 is less than option 2? Set up an inequality and show your work algebraically using information in part a
Thank you This question is from textbook Blitzer College Algebra

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
option 1:
Option 2:
option 1 < option2

In order for option 1 to be less expensive than option 2,
the option 1 court must be rented for more than 12 hours
check:
What if they're both rented for 12 hrs?

What if they're both rented for 13 hours?

As you can see, option 1 is now $3.50 cheaper than option 2.