Question

A colony of 725 bacteria is growing exponentially. The growth rate is 14.4% per hour. How many bacteria should be in the colony in 12 hours? How many should be in the colony in 1 day?

Answer 1

4082

22976

Explanation:

The number of colonies will be given by

`A=Pe^(rt)`

Where A is the final number of colonies, P is the initial number, r is the rate of growth in decimal and t is time

Taking r as 0.144 and t as 12 hours then P is given as 725

`A=725e^(0.144*12)=4081.30330894157\approx 4082`

When t is 1 day, 24 hours then

`A=725e^(0.144*24)=22975.2230338999\approx 22976`