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Write a mathematical model representing the total monthly cost

A tennis club offers 2 payment option:

Option1: $42 monthly fee plus $5/hour for court rental
Option 2: No monthly fee but $8.50/hour for court rental.

Let x=hours per month of court rental time.

Write a mathematical model representing the total monthly cost, C, in terms of x for the following:

Option 1: C=
Option 2: C=

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Mathematical Model for the problem:-

Option1: C=42+5*x
Option2: C=0+ 8.5*x

Thanks

Zulfikar Ali
ali_zulfikar@yahoo.com
09899780221

Posted on Feb 06, 2009

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You will never learn any mathematics if you do not solve math problems. I am here to do your homework. I will however help you set the problem up.
1. Define variables (unknowns).
2. Let t be the price of the tennis shoes
3. Let r be the price of running shoes.
Translate the text into mathematical expressions
A pair of running shoes costs 5$ more than a pair of tennis shoes
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Cost of a pair of running shoes (r) = cost of a pair of tennis shoes (t) +5
So the first statement can be expressed as r=t+5

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( r=t+5
)
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There are a few methods to solve the system (comparison, substitution, or combination/addition/elimination). I gave the 3 possible names for the third methods.
Choose a method and solve the system to find t and r.
Note: Although all three methods, if carried out correctly, will give you the same solution (t,r), one of them should be preferred. It is worthwhile to recognize immediately which method should be favored depending on the system you are dealing with.

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