SOLUTION: 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 mathematica

Algebra ->  Equations -> SOLUTION: 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 mathematica      Log On


   



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=
option2 C=
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

Found 2 solutions by Earlsdon, ankor@dixie-net.com:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
C%5B1%5D+=+42%2B5x where x = number of hours.
C%5B2%5D+=+8.5x
You want to find, for what x is:
C%5B1%5D+%3C+C%5B2%5D Substitute from above:
42%2B5x+%3C+8.5x Subtract 5x from both sides.
42+%3C+3.5x Divide both sides by 3.5
12+%3C+x
Answer: 12 hours.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
): 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%2F3.5
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