(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

the population of a town grows at a rate proportional to the population at any time. its initial population of 500 increases by 15% in 10 years. what will be the population in 30 years?

2. Relevant equations

my teacher sucks at teaching and i have no idea what on earth hes trying to say. all i got from him was this

dp/dt = Kt

the derivative of the population with respect to time is equal to a constant, which is 15% i think and time.

3. The attempt at a solution

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# Homework Help: Differential equation word problem

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