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

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