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)N=42e0.0134t. How long will it be before the population bacteria doubles?
1 Answer
Mar 30, 2017
51.73 minutes.
Explanation:
- Let the population be
NN att=t_1t=t1 . - Let the population be twice i.e.
2*N2⋅N att=t_2t=t2 .
N = 42*e^(0.0134*t_1) 2*N = 42*e^(0.0134*t_2)
Dividing these equations
Taking natural logarithm on both sides;