Using a differential equation, it is found that the bacteria's population will triple in 4.75 hours.
<h3>What is the differential equation used in this problem?</h3>
- The bacteria in certain culture increase at a rate proportional to the number present, which means that the population is described by the following differential equation:
- In which k is the growth rate.
Applying <em>separation of variables</em>, the solution is:
The number of bacteria doubles in three hours, hence P(3) = 2P(0), which is used to find k.
Hence:
It triples when P(t) = 3P(0), hence:
The bacteria's population will triple in 4.75 hours.
A similar problem, also involving a differential equation, is given at brainly.com/question/14423176
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