Question

The number of micro-organisms in a culture triples every 3hrs. If there were 2 micro-organisms present at noon, how many were there tomorrow the same time assuming that all micro-organisms survive?

Answer 1

There will be 13,122 micro-organisms present at noon the next day

The number of hours between noon today and noon tomorrow is 24 hours.

The micro-organisms triple every 3 hours. The first thing you need to do therefore, is to find the number of 3 hour intervals in 24 hours.

= 24 hours / 3

= 8 three hour intervals

The micro-organisms started with 2 and will triple every 3 hour intervals.

There are 8 three hour intervals so the number of micro-organisms at noon the next day is:

= Beginning number of micro-organisms x 3 ^ number of three hour intervals

= 2 x 3⁸

= 13,122 microorganisms

In conclusion, there will be 13,122 micro-organisms.

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