Question

A culture of bacteria begins with 92 individuals and triples every 26 minutes. If t is measured in minutes and P (t) is the population of bacteria every hour, which of the following expressions best models popuLation growth.

select one:

a) P(t)=92(3)^t/26

b) P(t)= (3)^26t+92

c) p(t)= 92(3)^26/60(t)

d) P(t)= 92(3) ^60/26(t)

Answer 1

Thank you!

Exponential Population growth model: • It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quanlity itself. let initial population be rate ber and time be ti so P(t) = Xo and groulth 라 - Xo.bi with Population after t time ! we have been given that; culture begins 92 individuals (ie. Xo=92) and triples (ie. b=3) every 26 minutes for 26 hours) so fubpulation offer thours 8=26 60 PH) = (92). (3) (3) + 60 option (C) is correct, PH) = 92. (3)