Answer:
21 minutes or 0.35 hours
Explanation:
The formula for exponential population growth is
[tex]A = A_0* e^{kt}\\[/tex]
where
[tex]A_0 =[/tex] initial population of E.coli i.e 100
k is the rate of population growth i.e 2 as the population doubles
t is the time period i.e 20 minutes
Substituting the given values in above equation, we get -
[tex]A = 100 * e^{2 * \frac{20}{60} }\\\\A = 195[/tex]
Generation time
[tex]G = \frac{t}{3.3 * log \frac{194}{100} } \\G = \frac{t}{0.949} \\G= 21[/tex] minutes
or 0.35 hours
