SOLUTION: a tennis club offers two payment options: 1. $32 monthly fee plus $3 for court rental. 2. no monthly fee but $6.50 per hour for court rental. Let x = hours per month of court re

Algebra ->  Linear-equations -> SOLUTION: a tennis club offers two payment options: 1. $32 monthly fee plus $3 for court rental. 2. no monthly fee but $6.50 per hour for court rental. Let x = hours per month of court re      Log On


   

Question 168349: a tennis club offers two payment options: 1. $32 monthly fee plus $3 for court rental. 2. no monthly fee but $6.50 per hour for court rental. Let x = hours per month of court rentals. (a) write a model representing the total cost, c, in terms of x for the following. (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 round to 3 decimal places if necessary.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
I am assuming its 3 per hour for court rental even though it wasnt stated.
:
32%2B3%28x%29=c....eq 1
0+%2B6.50%28x%29=c.eq 2
:
now we are looking for eq 1 being less than eq 2
:
so 32%2B3x%3C6.50x subtract 6.50x and 32 from each side
:
-3.50x%3C-32 divide by -3.5 (dividing by a minus reverses the sign so
:
highlight%28x%3E9.413%29hours per month in order for the 1st plan to lower than the 2nd