## Related questions with answers

Question

The von Bertalanffy growth function $L(t)=L_{\infty}-\left(L_{\infty}-L_{0}\right) e^{-k t}$ where k is a positive constant, models the length L of a fish as a function of t, the age of the fish. This model assumes that the fish has a well-defined length $L_{0}$ at birth (t = 0). Calculate $\lim _{t \rightarrow \infty} L(t).$ How do you interpret the answer?

Solution

VerifiedStep 1

1 of 3The $\textbf{von Bertalanffy growth function}$

$L(t)=L_{\infty} - (L_{\infty}-L_{0})e^{-kt}$

where $L_{0}$ is a well-defined length of a fish at birth, $k$ is a positive constant.

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