To the nearest whole number, what will the fish population be after 2 years? use a graphing calculator and this scenario: the population of a fish farm in t years is modeled by the equation P(t) = 1000/(1 + 9e-0.6t)

For the following exercises, use a graphing calculator and this scenario: the population of a fish farm in t years is modeled by the equation P(t) = 1000/(1 + 9e^-0.6t)

To the nearest whole number, what will the fish population be after 2 years?

Expert Solution

The logistic model is represented as follows:

F(x) = c/(1 + ae-bx)

Here, c/(1 + a) is the initial value.

c is the carrying capacity.

b is the constant determined by the rate of growth.

Consider a following logistic growth model:

P(t) = 1000/(1 + 9e-0.6t)

Substitute t = 2 to determine the population of the fish after 2 years as follows:

P(2) = 1000/{1 + 9e-0.6(2)}

= 1000/(1 + 9e-1.2)

= 1000/3.7

= 270.2

Therefore, fish population after 2 years is 267.

Umair answered 1 year ago

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