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?

Question

3292 views around the world

You can reuse this answer
Creative Commons License

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#