1. ## Bacteria Growth

The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours.

How do I find the the initial population?

2. $P = P_o e^{kt}$

$\frac{350 = P_o e^{4k}}{125 = P_o e^{2k}}$

$2.8 = e^{2k}$

solve for $k$, then go back to the easier equation and solve for $P_o$