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The rate of growth dP/dt of a population of bacteria is proportional to the square root of t, where P is the population size and t is the time in days (0 ≤ t ≤ 10) as shown below.

The rate of growth dPdt of a population of bacteria is proportional to the square root of t where P is the population size and t is the time in days 0 t 10 as s class=

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Explanation

Given that the rate of change is'

[tex]\frac{dp}{dt}=k\sqrt{t}[/tex]

We can get the function of the population by integrating the above function

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