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?

Respuesta :

Answer:

4082

22976

Step-by-step explanation:

The number of colonies will be given by

[tex]A=Pe^{rt}[/tex]

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

[tex]A=725e^{0.144*12}=4081.30330894157\approx 4082[/tex]

When t is 1 day, 24 hours then

[tex]A=725e^{0.144*24}=22975.2230338999\approx 22976[/tex]