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Question:

The logistic population growth is expressed by the equation dN/dt=rN(K−N/K)

dt/dN=Nr(K−N/K)

dN/dt=rN(K−N/K)

dN/dt=rN

dN/dt=rN(N−K/N)

Solution:

Population growth rate is measured by the number of individuals in a population (N) over time (t). The term for population growth rate is written as (dN/dt). K represents the carrying capacity and r is the maximum per capita growth rate for a population. Thus, the exponential growth model is restricted by this factor to generate the logistic growth equation: dN/dT = rmax(dN/dT)= rmaxN((K-N)/K). Hence, the correct answer is option B.