# Bacteria Growth Problem.

by QuantumTheory
Tags: bacteria, growth
Start with $$y=Ae^{kt}$$
 P: 21 Yeah that amused me too .I'd probably start a little earlier: Growth proportional to size implies..... $$\frac{dy}{dt}=ky$$ with the intial condition $$y(0)=500$$ and the time t = 3 (in hours!) condition $$y(3)=8000$$. Your mission, should you choose to accept it, is to find the general solution to the DE above, and the values of k and the constant of integration A. That's the model, the rest should be ok?