Assume that the number of bacteria follows an exponential growth model: P(t)=P0ekt

. The count in the bacteria culture was 900 after 20 minutes and 1600 after 30 minutes.

(a) What was the initial size of the culture?

(b) Find the population after 80 minutes.

(c) How many minutes after the start of the experiment will the population reach 10000?

1 answer

Po e^(20k) = 900
Po e^(30k) = 1600
e^(10k) = 16/9
k = 0.019

And you can take it from there, I assume.