SOLUTION: OK I have another question that I know I found the answer to but did it the LONG way. Here it is: A tennis club offers two payment options: Option1: $35 monthly fee plus $4/ho

Question 110796: OK I have another question that I know I found the answer to but did it the LONG way. Here it is:
A tennis club offers two payment options:
Option1: $35 monthly fee plus $4/hour for court rental
Option 2: No monthly fee but $6.50/hour for court rental.
Let x = hours per month of court rental time.
a) Write a mathematical model representing the total monthly cost, C, in terms of x for the following:
Option 1: C=_________________
Option 2: C=_________________
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 algebraically using the information in part a.
Answer:
Show your work here:
Now I came up with 15 hours, option a= $95 and option b=$97.50, 14 hours would be equal at $91. The problem is if I showed my work it would take up an entire 2 pages. LOL Thank you for any help you can give me.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
a) opt 1 ... c=4x+35
... opt 2 ... c=6.5x

b)6.5x>4x+35 ... 2.5x>35 ... x>14
RELATED QUESTIONS
Hi, I'm new here and hope this is the right topic for my question(s)... I have some... (answered by ankor@dixie-net.com)

ok I'm going nuts here I know that 5g-2h=3g+1 solve for G i know that the answer is... (answered by ankor@dixie-net.com)

Here is the second problem that I was talking about in another submitted question. A... (answered by rapaljer,mathmaven53)

This question is about simplifying by adding like terms. I don't think I can duplicate... (answered by jim_thompson5910)

Ok thanks for the help now here is my question. 7^5/7^3 Now you may already know that (answered by solver91311)

Hello, my question is a pre-algebra one and I have tried to work it out like this, but... (answered by xcentaur)

5) A tennis club offers two payment options: Option 1: $42 monthly fee plus $5/hour for (answered by Theo)

A tennis club offers two payment options: Option1: $35 monthly fee plus $4/hour for... (answered by rfer)

I hope I picked the right topic... Here is the word problem, out of my book: In the... (answered by nerdybill,jim_thompson5910)