Question

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 240. (a) Find an expression for the number of bacteria after t hours. P(t)

Answer 1

P(t) = 100e^[(ln2.4/lne)t]

or

P(t) = 100e^0.87546t

Explanation:

see attached picture