In the Formula,dN/dt = RN(K-N)/K,the Rate of Population Growth Approaches

Question

In the formula,dN/dt = rN(K-N)/K,the rate of population growth approaches zero as
A)carrying capacity approaches zero.
B)the age-specific fertility rate approaches zero.
C)the per capita growth rate declines.
D)the population size approaches the carrying capacity.

Accepted Answer

The formula dN/dt = rN(K-N)/K describes the logistic growth model, where dN/dt is the rate of population growth, r is the intrinsic rate of increase, N is the population size, and K is the carrying capacity. As the population size N approaches the carrying capacity K, the term (K-N) approaches zero, causing the rate of population growth dN/dt to also approach zero. This reflects a slowing of growth as resources become limited and the population nears its maximum sustainable size.