Carrying capacity k is...

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BlackTom AI · Accepted Answer

Carrying capacity K represents the maximum sustainable number of individuals of a population that an environment can support over time given available resources. 1) Relevant concepts - Carrying capacity (K) is a core concept in population ecology and in the logistic growth model. - Logistic growth equation: dN/dt = rN(1 − N/K), where N = population size, r = intrinsic growth rate, K = carrying capacity. - Limiting factors (food, water, space, disease, predators) determine K and cause density-dependent effects. 2) Step-by-step reasoning - Start with the logistic equation: dN/dt = rN(1 − N/K). - If N < K, the factor (1 − N/K) is positive, so dN/dt > 0 and the population grows. - If N = K, then (1 − N/K) = 0, so dN/dt = 0 and growth stops — the population is at the environment’s sustainable maximum. - If N > K, then (1 − N/K) is negative, so dN/dt < 0 and the population declines back toward K. - Therefore K is the stable equilibrium population size the environment can “handle” given current resources and limiting factors. 3) Intermediate calculation example - Suppose r = 0.5 and K = 1,000. If N = 1,000: (1 − N/K) = (1 − 1000/1000) = 0 → dN/dt = 0. Population neither grows nor shrinks. - If N = 1,200: (1 − 1200/1000) = (1 − 1.2) = −0.2 → dN/dt = rN(−0.2) < 0, so population declines toward 1,000. 4) Why the correct answer is correct - The definition above matches choice c: “the maximum number of organisms an area can handle,” i.e., the sustainable population size under given environmental conditions. 5) Why other options are incorrect - a. “is infinite” is false because resources are limited and K is finite for real populations. - b. “the minimum number” is incorrect; that would be a minimum viable population, not carrying capacity. - d. “how much weight any person can hold” is unrelated to ecological carrying capacity and misinterprets the term. 6) Conclusion - Thus, the correct answer is c: the maximum number of organisms an area can handle. This matches the provided answer.

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Question at position 27 In our fishbanks simulation, Carrying Capacity refers toTotal assets, made up of total bank balance and ship valueFish population that produces fish stockFish stock we are consumingPredators that feed on the fishAvailable fish stock for consumption

Question at position 27 In our fishbanks simulation, Carrying Capacity refers toTotal assets, made up of total bank balance and ship valueFish stock we are consumingPredators that feed on the fishAvailable fish stock for consumptionFish population that produces fish stock

Question at position 27 In our fishbanks simulation, Carrying Capacity refers toFish stock we are consumingTotal assets, made up of total bank balance and ship valueFish population that produces fish stockPredators that feed on the fishAvailable fish stock for consumption

Carrying capacity refers to the

CHOOSE THE BEST ANSWER The total amount of resources available to the population in a given environment is a key determinant of its...

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