The rate of change in the number of bacteria in a culture is proportional to the number present. In a certain laboratory experiment, a culture had 10,000 bacteria initially, 20,000 a time t1 minutes and 100,000 bacteria at (t1+10) minutes.

A)in terms of t only, find the number of bacteria in the culture a any time t minutes, t≥0.

B)How many bacteria were there after 20 minutes.

C)How many minutes had elasped when the 20,000 bacteria were observed