Bacteria replicate by binary fission, a process by which one bacterium splits into two. Therefore, the population of bacteria doubles every generation time. Generation time is the time it takes for a population of bacteria to double in number. The relationship between the number of bacteria in a population at a given time ( left(N_{t} ight) ), the original number of bacterial cells in the population ( ( left.N_{o} ight) ), and the number of binary fissions those bacteria have undergone during that time ( (n) ) can be expressed by the following equation: [ N_{t}=N_{0} imes 2^{n} ] Using your preferred IDE or this online IDE, create a Python program that computes and displays the hourly count of bacteria with a generation time of 20 minutes given the number of hours and initial/starting count of the bacteria. For example, if there are initially 5 bacteria ( left(N_{0}=5 ight. ) ), the number of bacteria after 2 hours ( ( N_{t} ) ) would be 320 . ( n=6 ) because 2 hours are equivalent to 6 times of 20 minutes. See solution below. [ egin{aligned} N_{t} &=5 imes 2^{6} \ &=5 imes 64 \ &=320 end{aligned} ]
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