Question 204094
): Option 1-$42.00 monthly fee plus $5.00/hour for court rental
option 2-no monthly fee but$8.50/hour for court rental
Let x=hour per month of court rental time
write a mathematical model representing the total monthly cost, C, in terms of x for the following:
:
option1 C = 5x + 42
option2 C = 8.5x
:
How many hour would you have to rent the court so the monthly cost of option 1
 is less than option 2?
 Set up an inequality and show your work algebraically using the info in part A
:
8.5x > 5x + 42
:
8.5x - 5x > 42
:
3.5x > 42
x > {{{42/3.5}}}
x > 12 hrs, the monthly cost of option 1 is less than option 2
:
Test this with 13 hrs
Opt 1: 5(13) + 42 = $107
Opt 2: 8.5(13) = $110.50