A population of bacteria is growing in such a way a that the number of bacteria present, N, after t minutes is given by the rule #N=42e^(0.0134t)#. How long will it be before the population bacteria doubles?
1 Answer
Mar 30, 2017
51.73 minutes.
Explanation:
- Let the population be
#N# at#t=t_1# . - Let the population be twice i.e.
#2*N# at#t=t_2# .
#N = 42*e^(0.0134*t_1)# #2*N = 42*e^(0.0134*t_2)#
Dividing these equations
Taking natural logarithm on both sides;