PLEASE HELP ASAP LAST QUESTION OF THE QUIZ

A population of fish has a carrying capacity of 2,200 fish, 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 1,580 fish?

259 fish per year
360 fish per year
445 fish per year
863 fish per year

Respuesta :

Answer:

445 fish per year

Explanation:

Given that

The carrying capacity is 2,200 fish

The maximum rate of increase of 1.0 per individual per year

The population is 1,580 fish

We need to find out the approximate population growth rate  

We know that

dP ÷ dt = kP (1 - P÷ K)

where

K denotes the carrying capacity

k denotes the rate constant

dP ÷ dt denotes the change in the population per unit time

P denotes the population

Now put the values to the above formula

=  1 × 1,580 × (1 - 1,580 ÷ 2,200)

= 1 × 1,580 × (1 - 0.72)

= 445 fish per year

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