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Question

Exponential population growth is represented by

A
dN / dt = rN
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B
dt / dN = rN
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C
dN / rN = dt
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D
rN / dN = dt
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Solution

The correct option is A dN / dt = rN
Population growth rate measures the number of individuals in a population (N) over time (t). When the conditions are ideal, the type of growth is known as exponential form of growth which is expressed by the equation, (dN)/(dt)= rN. When the limiting factors is restricted, the growth pattern is known as logistic growth model. This model is described by the differential equation (dN)/(dt)= rN(K-N)/K, where K is the carrying capacity and r is the maximum per capita growth.
Therefore, the correct answer is option A.

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