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How many bacteria will there be after four hours f single bacterium that divides to produce two cells every 15 minutes?

User Maha Lak
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1 Answer

4 votes

Answer:

65536 bacteria cells

Step-by-step explanation:

According to this question, a single bacterium divides to produce two cells in every 15 minutes. Since there are 60 minutes in 1 hour, this means that the bacterium will have divided (60 ÷ 15) = 4times in an hour

Based on this question, in 4 hours, the bacterium will have divided 4 hours × 4 times = 16 times.

The breakdown is; 4hours × 60mins = 240 mins

240 mins ÷ 15 mins interval

= 16 times.

The number of cells that this single bacterium will produce can be calculated using the simple formula; 2^n

Where; n is the number of times the cell can divide in 4 hours

Therefore, since the cell can divide 16times in 4 hours,

= 2^16

= 65536

There will be 65536 bacteria cells produced after 4 hours of division into two new cells in every 15mins.

User Frm
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