Sunday, September 8, 2024

Question of geometric progression applied to biology

 A colony of bacteria, isolated for culture, reproduces in such a way that its volume triples every two minutes. If, in ten minutes, a vat containing a certain volume of bacteria is completely full, in how many minutes did the bacteria occupy a third of the vat?

3x each 2min.

10 min the full volume

2min - 3x

4min - 3x3=9

6min - 3x3x3=27

8min - 3x3x3x3=81

10min - 3x3x3x3x3=243

243 divided by 3 = 81, 1/3 of the volume is 81 in the table that I had write the 81 in volume is at 8min.

Rute Bezerra de Menezes Gondim


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