Durning a Reseach experiment, it was found that the number of bacteria in a culture grew at a rate proportional to its size. At 8:oo Am there were 5000 bacteria present in the culture. At noon, the number of bacteria grew to 6100.How many bacteria will there be at midnight?

P=Po*e^(kt).

5000=P0*e^(8k).

6100=Po*e^(12k).

6100/5000=e^4k.

k=0.04971.

Po=5000/e^8*0.04971.

=3359.

P=3359*e^(0.04971*24).

=11075.