A population of bacteria is initially 1800 cells. After 2 hours, the population has increased to 1900 cells.

Question

A population of bacteria is initially  cells. After 2 hours, the population has increased to  cells. Assume that the population is an exponential function of time. How many hours after the start will the instantaneous growth rate of the population be  cells per hour?

Answer 1

100=33.33+66.66

(t^2+t)/2*33.33=1hr

t=1hr

5hr=499.95