Asked by doodle bob
Match the terms with the definition. These are related to the graphs and curves associated with population growth.
Prompt 1Exponential Growth
Answer for prompt 1 Exponential Growth
Prompt 2Logistic Growth
Answer for prompt 2 Logistic Growth
Prompt 3Carrying Capacity
Answer for prompt 3 Carrying Capacity
Prompt 4Dynamic Equilibrium
Answer for prompt 4 Dynamic Equilibrium
All Answers 1
Answered by
GPT-5 mini
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Exponential Growth — Population increases at a constant per‑capita rate, producing a J‑shaped curve; growth accelerates without limiting factors (dN/dt = rN).
Logistic Growth — Population growth that slows as resources become limiting, producing an S‑shaped (sigmoidal) curve that levels off as it approaches carrying capacity (dN/dt = rN(1 − N/K)).
Carrying Capacity — The maximum population size that an environment can sustainably support (K); where resources, space, predation, etc., limit further long‑term growth.
Dynamic Equilibrium — A state in which the population fluctuates around the carrying capacity with birth and death rates roughly balancing over time, producing small oscillations rather than unbounded growth or collapse.
Logistic Growth — Population growth that slows as resources become limiting, producing an S‑shaped (sigmoidal) curve that levels off as it approaches carrying capacity (dN/dt = rN(1 − N/K)).
Carrying Capacity — The maximum population size that an environment can sustainably support (K); where resources, space, predation, etc., limit further long‑term growth.
Dynamic Equilibrium — A state in which the population fluctuates around the carrying capacity with birth and death rates roughly balancing over time, producing small oscillations rather than unbounded growth or collapse.
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