My Math Forum Equation Needed

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 October 19th, 2008, 08:22 AM #1 Newbie   Joined: Oct 2008 Posts: 2 Thanks: 0 Equation Needed Hi Everyone! I'm working on a simulation game, but my mathematics skills are terrible, and I would like some help! The simulation I'm working on involves raising snakes. I know that a 20cm snake weighs 100grams, and that a 180cm snake weighs 4000grams. Could someone please give me an equation that will predict the length of my snake as it grows from 100grams to 4000grams? Thank you very much!
 October 19th, 2008, 08:31 AM #2 Guest   Joined: Posts: n/a Thanks: Re: Equation Needed Assuming the snakes growth is linear, we can find an equation which models it. $m=\frac{4000-100}{180-20}=\frac{195}{8}$ Using y=mx+b, $100=\frac{195}{8}(20)+b$ $b=\frac{-775}{2}$ Our equation is $y=\frac{195}{8}x-\frac{775}{2}$ Now, plug in any x for length to find its weight in grams. For instance, if it is 30cm it weighs 343.75 grams
 October 19th, 2008, 08:45 AM #3 Newbie   Joined: Oct 2008 Posts: 2 Thanks: 0 Re: Equation Needed Way Cool! Thank you very much!
 October 21st, 2008, 09:32 AM #4 Senior Member   Joined: May 2007 Posts: 402 Thanks: 0 Re: Equation Needed And any snake smaller than $\frac{620}{39}$cm is made out of anti-matter? I think the linear progress assumption was off.. You need to incorporate point $(0,0)$. A second degree progression seems appropriate (even if you think in terms of actual snakes)! Then, this would be: $\text{weight}= \frac{\text{length}}{288}\left(31 \cdot \text{length} + 820\right)$
October 21st, 2008, 11:03 AM   #5
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Re: Equation Needed

Quote:
 Originally Posted by milin And any snake smaller than $\frac{620}{39}$cm is made out of anti-matter?
A power function fit seems to be appropriate: weight = 0.6542 (length)^1.68

 October 21st, 2008, 11:22 AM #6 Senior Member   Joined: May 2007 Posts: 402 Thanks: 0 Re: Equation Needed Yes, it could work. But, as I was thinking about this (and to be clear now - this is totally stupid to do anyhow), I think that the surface of a snake's body section across it's length axis does not grow with linear progression. I think it should be something much, much slower. Maybe logarithmic? So something like $O\left(x \ln ^2(x)\right)$ ?

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