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noahsdev
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Homework Statement
The number of termites in a colony is increasing at a rate proportional to the number present on any day. If the number of termites increases by 25% in 100 days, how much longer (to the nearest day) will it be until the population is double the initial number?
2. The attempt at a solution
[itex]\frac{dT}{dt}[/itex]=at
T=∫at
=[itex]\frac{at^{2}}{2}[/itex] + c
T(x)=T
T(0)*[itex]\frac{5}{4}[/itex] = T(100)
=> a=[itex]\frac{c}{20000}[/itex]
I think I am approaching this wrong. Help is appreciated,
thanks.
**UPDATE: I overlooked a something, I think I figured it out now. I got t=200, does that seem right?
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