Answer:
Tom needs to rent it atleast 17 times.
Explanation:
1) First, write your equations. x in this case equals the # of times you rent the court.
For members: y = 135 + 3x (members)
Non-members: y = 11x (non-members)
From here, there can me many methods that can work. Right now I can only think of one though :/.
So what you can do is plug in numbers and see what happens. I suggest you work with easy numbers when you plug stuff in. Once you find that non-members is greater than the amnt for members have, that's your answer!
a) x = 10
For members: 135 + 3(10) = 165
Non-members: 11(10) = 110
Didn't work. :(
b) x = 20
For members: 135 + 3(20) = 195
Non-members: 11(20) = 220
Aha! We have a valid answer. However, we need to find the minimum number of times Tom needs to rent it.
c) x = 15
For members: 135 + 3(15) = 180
Non-members: 11(15) = 165.
So our answer is between 15 and 20.
If you keep doing this, you'll find that 18 is the minimum number of times tom will have to rent the court. So your answer is anything greater than equal to 17.
x = 17
For members: 135 + 3(17) = 186
Non-members: 11(17) = 187
Sorry I made this tedious, but this is one method. Though I helped you find the answer, I hope someone else can help you find the best method!