Which term describes population growth that starts fast and then levels off?

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Multiple Choice

Which term describes population growth that starts fast and then levels off?

Explanation:
When a population grows quickly at first but then slows and settles, it’s because resources like food and space become limited. This creates a carrying capacity for the environment, and the growth pattern levels off as the population approaches that limit. This is known as logistic growth. The early rapid increase followed by a flattening S-shaped curve reflects how birth rates drop or deaths rise as competition intensifies, keeping the population near the carrying capacity. The math dN/dt = rN(1 − N/K) captures this, with r as the intrinsic growth rate and K as carrying capacity. Exponential growth would keep accelerating without leveling off, linear growth increases by a constant amount each time, and the term “log growth” isn’t the standard model used to describe populations that stabilize due to resource limits. So the best term is logistic growth.

When a population grows quickly at first but then slows and settles, it’s because resources like food and space become limited. This creates a carrying capacity for the environment, and the growth pattern levels off as the population approaches that limit. This is known as logistic growth. The early rapid increase followed by a flattening S-shaped curve reflects how birth rates drop or deaths rise as competition intensifies, keeping the population near the carrying capacity. The math dN/dt = rN(1 − N/K) captures this, with r as the intrinsic growth rate and K as carrying capacity. Exponential growth would keep accelerating without leveling off, linear growth increases by a constant amount each time, and the term “log growth” isn’t the standard model used to describe populations that stabilize due to resource limits. So the best term is logistic growth.

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