Question

A bacteria culture has 2,000 bacteria. The number of bacteria increases by 5% each hour. How many bacteria are there after 12 hours?

Answer 1

Suppose the number of bacteria are increasing exponentially, We can model the number of bacteria at a given time t, using the formula:
f(t)=ae(tk)
where, k=constant of proportionally and a=initial number;
thus;
f(t)=2000e(0.005t)
Therefore the population after 12 hours will be:
f(12)=2000e^(0.005*12)
f(12)=2,123.67=2,123 bacteria