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October 19th, 2008, 07:22 AM   #1
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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!
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October 19th, 2008, 07:31 AM   #2
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Re: Equation Needed

Assuming the snakes growth is linear, we can find an equation which models it.



Using y=mx+b,



Our equation is

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, 07:45 AM   #3
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Re: Equation Needed

Way Cool!

Thank you very much!
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October 21st, 2008, 08:32 AM   #4
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Re: Equation Needed

And any snake smaller than cm is made out of anti-matter? I think the linear progress assumption was off.. You need to incorporate point . A second degree progression seems appropriate (even if you think in terms of actual snakes)! Then, this would be:

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October 21st, 2008, 10:03 AM   #5
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Re: Equation Needed

Quote:
Originally Posted by milin
And any snake smaller than cm is made out of anti-matter?
A power function fit seems to be appropriate: weight = 0.6542 (length)^1.68
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October 21st, 2008, 10:22 AM   #6
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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 ?
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