Problema Solution
The local tennis club offers two payment plans for its members. Plan 1 is a monthly fee of $29 plus a $12 per hour fee for court rental time. Plan 2 has no monthly fee, but court time costs $18.50 per hour. (Courts can only be rented on an hourly basis, no partial hours). How many court hours would someone have to rent per month so that plan 1 would be advantageous?
Answer provided by our tutors
Let 'x' represent the number of court hours rented per month, x is integer, x>=0.
Plan 1:
For x hours you will pay: 29 + 12x
Plan 2:
For x hours you will pay: 18.50x
Since Plan 1 is better we have the following inequality:
29 + 12x > 18.50
........
click here to see the inequality solved for x
........
x < 4.46
x <= 4
Plan 1 is advantageous for no more than 4 hours.