# 007B Sample Midterm 3, Problem 3

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For a fish that starts life with a length of 1cm and has a maximum length of 30cm, the von Bertalanffy growth model predicts that the growth rate is  ${\displaystyle 29e^{-t}}$  cm/year where  ${\displaystyle t}$  is the age of the fish. What is the average length of the fish over its first five years?