As shown in the figure below,a single bacterium has a generation time of 10 minutes.Approximately how much time will have passed when the population is 100 cells?

Question

Quizplus · Accepted Answer

To calculate the time it takes for a population to reach a certain size, we use the following formula:

Nf = Ni x 2^n

Where:
Nf = Final population size
Ni = Initial population size
n = Number of generations

Since each generation time is 10 minutes, we can use the following formula to calculate the number of generations:

n = log2 (Nf/Ni)

Plugging in the values, we get:

n = log2 (100/1)
n = 6.64

Since we can't have a fraction of a generation, we round up to 7 generations. So the total time it takes for the population to reach 100 cells is:

Total Time = 7 x Generation Time
Total Time = 7 x 10
Total Time = 70 minutes

Therefore, the best choice is C, 70 minutes.

As Shown in the Figure Below,a Single Bacterium Has a Generation