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Each cell divides to form two new cells every 30 minutes. If a culture starts out with exactly 100 bacterial cells how many bacteria will be present after 3 hours?

Verified Answer :

so, after 30 mins we have:

1002

After 1 hour: 1002*2, etc


the number of 2s will be the number of time they will divide: 3 hrs divided by 0.5 hour: this is six times.

So the final number of cells will be:

\(100* 2^{6} =100 *2*2*2*2*2*2= 100 *8*8=100 *64=6400\)


So after 3 hrs there will be 6400 cells there!

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