May 31st, 2009, 09:43 PM  #1 
Newbie Joined: May 2009 Posts: 5 Thanks: 0  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. 
June 1st, 2009, 02:52 AM  #2 
Senior Member Joined: Dec 2008 Posts: 251 Thanks: 0  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 . 
June 1st, 2009, 06:06 AM  #3  
Senior Member Joined: Mar 2009 Posts: 318 Thanks: 0  Quote:
Please study at least two lessons from the link. You will need to know this!  

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