Question

The count in a bateria culture was 800 after 15 minutes and 1600 after 40 minutes. Assuming the count grows exponentially, What was the initial size of the culture? Find the doubling period. ? Find the population after 65 minutes. ? When will the population reach 1400?

Answer 1

The first obvious thing is that the population doubled between time 15 and time 40. Therefore the doubling period is 40-15 = 25

The population at any time will follow an equation:
\[P = P_0*2^{t/25}\]You should be able to solve for P_0 and answer the other questions.