Problema Solution
The Number N of bacteria present in a culture at time "t" (indays) obeys the model N(t)=100e^0.045t
a) What is the growth rate of the bacteria?
b) Determine the initial count of the bacteria.
c) what is the population after 6 days?
d) When will the number of bacteria reach 340?
Answer provided by our tutors
(a) The growth is a exponetial function
(b) The initial count of the bacteria is 100
(c) N(6) = 100e^0.045*6 = 131
So the population is 131 after 6 days.
(d) N(t)=100e^0.045t = 340
t = 27.2
So after 27.2 days the population will be 340