Question

Section 2.4 question: 1Suppose 225 trout are seeded into a lake. Absent constraint, their population will grow by 25% a year. If the lake can sustain a maximum of 3500 trout, use a logistic growth model to estimate the number of trout after 5 years. trout

Answer 1

Given,

The number of trout in the lank is 225.

Their population will grow by 25% a year.

The maximum number of trout in the lake is 3500.

The logistic growth model is,

`P(t)=P_oe^(rt)`

Substituting the values then,

`\begin{gathered} P(5)=225* e^(0.25*5) \\ P(5)=225* e^(1.25) \\ P(5)=785.33 \end{gathered}`

Hence, the number of trout in the lake after 5 year is 785.33 Approximately.