Question

If a bacterial cell divides in every 20 minutes, how many bacteria will be formed in 2 hours?

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Answer 1

Answer:

the bacteria divide every 20 minutes, and will therefore divide three times every hour, . If the bacteria grow for six hours, each bacterium will divide 3 times per hour × 6 hours = 18 times. Every time the bacteria reproduce, the number doubles.

Answer 2

Answer:

64 bacterial cells will be formed in 2 hours.

Explanation:

• The bacterial cell divides every 20 minutes means that it doubles every twenty minutes.i.e.every twenty minutes it completes one cell cycle.

            20 minutes ⇒ 1 cell cycle

            1minute ⇒ $\frac{1}{20}$   cell cycle   (1)

• In two hours there are 120 minutes. So, the number of cell cycles performed by bacteria in 2 hours is,

        120 minutes  ⇒ $\frac{1}{20}\times 120$   cell cycle=6 cell cycle     (2)

The number of bacterial cells formed in "n" cycles is given as=$2^n$   (3)

Where,

n= number of cell cycle

So, the number of bacteria formed in 6 cell cycles is=$2^6=64$

Hence, 64 bacterial cells will be formed in 2 hours.