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Posted on Jan 08, 2009
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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=

1 Answer

ali_zulfikar

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  • Expert 156 Answers
  • Posted on Feb 06, 2009
ali_zulfikar
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Mathematical Model for the problem:-

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

Thanks

Zulfikar Ali
[email protected]
09899780221

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I would like. By step instructions on how to T Mobile jump program works

T-Mobile's new JUMP! upgrade service offers you the option to pay a $10 monthly fee, which includes handset insurance, to then have the option to upgrade your device twice per year for no additional fee. The fee is separate from an Equipment Installment Plan (EIP), which lets you purchase a phone with little money down and the rest of the cost spread out over 24 monthly payments. When upgrading a device, you must return your current device to T-Mobile in order to move on to the new one.
Although this new plan does offer the ability to upgrade your phone potentially every 6 months, we break down the cost over 12 months with just 1 upgrade in order to keep it consistent with AT&T's plan, which we'll detail next.
The breakdown of T-Mobile charges after a year is as follows:
  • $150 down for the handset
  • $20 per month EIP x 12 months = $240
  • $10 per month JUMP! fee x 12 months = $120
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AT&T Next

AT&T Next is more of an all-in-one package, which combines both the upgrade features of JUMP! with the EIP program that T-Mobile offers separately. With Next, you purchase a phone by agreeing at the start to pay 20 equal monthly payments which in the end total the full off-contract/unsubsidized handset price. For example, the Galaxy S4 retails for $640, so the monthly payment is $32. After 12 months of payments, you then have the option to return the working device to AT&T and have the final 8 monthly payments wiped out, letting you then purchase a new handset for $0 down and with 20 new payments.
Next only allows you to upgrade once per year, and while it does not carry an additional monthly fee like JUMP! it also does not include handset insurance. For the breakdown below, we've included AT&T's $7 per month handset insurance to even the playing field a bit.
Again, the breakdown of charges after a year:
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  • $7 per month insurance x 12 months = $84
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Differences

As we noted, there are a few differences between these upgrade schemes. First up are the upgrade cycles -- T-Mobile will offer you two upgrades per 12 month period, while AT&T only offers 1 per year. T-Mobile's more frequent upgrades come at no additional cost, however, meaning that an upgrade at 6 months costs the same as at 12 months. This means that you can trade in that Galaxy S4 for an HTC One after 6 months, and swap even once more if you want before AT&T offers you the first and only upgrade of the year.
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The biggest difference of all is what T-Mobile's JUMP! and AT&T's Next mean for your final bottom line when pairing that device with the service it needs to run.
What about that subsidy? And this is where we get to the big sticking point on AT&T's Next upgrade plans. Based purely on a device vs. device purchase basis, AT&T actually does offer the cheaper option for buying a phone on an installment plan and upgrading once every 12 months. What the above numbers don't show is how your monthly service charges don't change on AT&T regardless of whether or not you choose to buy a handset subsidized.
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Sep 21, 2014 • Cell Phones
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A pair of running shoes costs $5.00 more than a pair of regular tennis shoes. The total cost for both is $115 Find the price of the regular tennis shoes

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
5 $ more ---> ... +5
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

The total cost of both ------> Sum of the costs r+t
The total cost of both is 115 $ ------> r+t=115

Now you have a system of two linear equations in two unknowns
( r=t+5
)
(r+t=115
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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