Question

A bacteria population starts with 350 bacteria and grows at a rate of r(t) = (450.267)e1.12567t bacteria per hour. how many bacteria will there be after three hours? (round your answer to the nearest integer.)

Answer 1

Given that the bacteria has been modeled by the function:
r(t)=(450.267)e^(1.12567t)
thus the number of bacteria after 3 hours will be:
r(3)=450.267e^(1.12567×3)
r(3)=13,185.20623
The number of bacteria after 3 hours will be:
13, 185.20623