Question

A common inhabitant of human intestines is Ecoli. The cell divides every twenty minutes and the initial population is 60. Find the rate of growth after 8 hours

Answer 1

do you want it in cells per minute or cells per hour?

Answer 2

per hour please

Answer 3

Can you get the equation of the Population P(t) at any given time t

Answer 4

P(t)= 60* e^(k*t) where k=2.0794

Answer 5

how did you get 2.07?

Answer 6

nevermind it's correct

Answer 7

so you then need to find the equation for P'(t)

and solve for P'(8)

Answer 8

how? @PaxPolaris

Answer 9

\[P(t)= 60e^{kt}...\ where\ k=\ln(2^3)\]\[P'(t)=60ke^{kt}\]