During the exponential phase, E. coli bacteria in a culture grown continuously. If the growth rate is 2.8% per minute and the current population is 124.0 million, what will the population be 6.3 minutes from now?

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Answer 1 · 2017-03-29T18:05:11

#~~1.479*10^8#

We can equate it this way:
#"Population"="constant" * e^("growth rate"*"time since")#

At current time, #t_0:#
#124000000="constant" * e^(0.028*0)#
#"constant"=124000000/1=124000000#

Hence, at #t=6.3#,
#Pop_(t=6.3)=124000000*e^(0.028*6.3)~~1.479*10^8#