Question

The carrying capacity for a population of frogs in a rainforest ecosystem is 840 frogs, and the maximum rate of increase for this population is 1.0 per individual per year. Using the logistic population growth model, what is the approximate population growth rate for 212 frogs?

4 frogs per year
29 frogs per year
158 frogs per year
314 frogs per year

Answer 1

Answer:

4 frogs per year is the answer

Answer 2

In logistic growth, a population's per capita growth rate gets smaller and smaller as population size approaches a maximum imposed by limited resources in the environment, known as the carrying capacity (K).

Formula used:  dN/dT= rN{1-N/K}

Given: k= 840 frogs

            N= 212, r= 1 year

To find: r=?

Solution:

putting value in equation:

                          dN/dT= rN{1-N/K}

                          dN/dT = 1 x 212 {1-212/840}

                   so,    dN/dT= 158.57 ( approx)

                   

Final answer: The correct option is (c)

158 frogs per year

Thus, we can conclude that 158 frogs per year will be the population of frogs.

You can learn more about logistic growth here:

https://brainly.com/question/2495595

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