Q.Which growth equation is represented by dN/dt = rN(K − N)/K ?
(A) Exponential growth
(B) Logistic growth
(C) Linear growth
(D) None of these

The equation dN/dt = rN(K − N)/K is the Verhulst-Pearl logistic growth equation, describing population growth in a resource-limited environment; it explicitly includes the carrying capacity K, and the growth rate slows as N approaches K. Exponential growth (option A) is described by the simpler equation dN/dt = rN, which has no carrying-capacity term at all and predicts unlimited, ever-accelerating growth. Linear growth (option C) would mean population size increasing by a constant amount per unit time (dN/dt = constant), which is not what either bio …

Spot the carrying-capacity term (K − N)/K in the equation — its presence is the single most reliable way to identify the logistic growth eq …

Do not select exponential growth just because the equation contains "rN" — the exponential equation is ONLY dN/dt = rN; the additional (K−N)/K …