Which growth pattern arises when resources are plentiful and unlimited, leading to rapid increases?

• A. Logistic growth
• B. Exponential growth
• C. Carrying capacity
• D. Decline

Answer: (B)

Unlimited resources allow growth to proceed without density-dependent constraints, so the population increases at a rate proportional to how many individuals are already present. This leads to exponential growth, producing a rapid, accelerating increase over time. In mathematical terms, the change in population size is proportional to N (dN/dt = rN), giving N(t) = N0 e^(rt). Because every individual effectively contributes to the next generation, there’s no immediate slowdown, unlike patterns that factor in limits. If resources eventually become scarce, growth would slow and eventually level off toward a carrying capacity, producing a different S-shaped pattern rather than the unchecked rise seen in exponential growth. Carrying capacity describes the limit, not a growth pattern, and decline refers to decreasing numbers, not the rapid rise described here.