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HELP!!! 50PTS!!!

A population of deer has a carrying capacity of 875 deer, with a maximum rate of increase of 1.0 per individual per year. Using the logistic population growth model, what is the approximate population growth rate for a population of 420 deer?
148 deer per year
218 deer per year
307 deer per year
474 deer per year

Respuesta :

Answer:

Option B, 218 deer per year

Explanation:

As we know

[tex]\frac{dP}{dt} = kP (1- \frac{P}{K})[/tex]

Where K is the carrying capacity

K is the rate constant

dP/dt is the change in population per unit time and

P is the population

Substituting the given values we get

[tex]\frac{dP}{dt} = k * 420 * (1-\frac{420}{875})\\= 1 *420 * (1-0.48)\\= 218[/tex]

Option B is correct

Answer:

218!

Explanation:

took the flvs test and got it correct

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