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May 31st, 2009, 09:43 PM   #1
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Word problem

Hello,

I need some help with this word problem:

The value V of a machine t years after it is purchased is inversely proportional to the square root of t+1. The initial value of the machine is $10,000.

Write V as a function of t then find the rate of depreciation when t=1 and t=3.

Can someone solve down for me and show me what they've done along the way so I can understand it?

Thanks a lot for reading.
hemidol is offline  
 
June 1st, 2009, 02:52 AM   #2
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Re: Word problem

To say that is inversely proportional to is to say that



for some constant . Differentiating, we obtain



Now all that is left is to find the rates of depreciation and .
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June 1st, 2009, 06:06 AM   #3
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Quote:
Originally Posted by hemidol
The value V of a machine t years after it is purchased is inversely proportional to the square root of t+1. The initial value of the machine is $10,000.

Write V as a function of t then find the rate of depreciation when t=1 and t=3.
The first part is something they were supposed to have taught you back in algebra; namely, setting up the variation equation. To learn how the previous poster came up with the equation, try here.

Please study at least two lessons from the link. You will need to know this!
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