A class of models for population growth rates in marine fisheries assumes that the harvest from fishing is proportional to the population size. One such model uses a quadratic function: G = 0.3n – 0.2n? Here G is the growth rate of the population, in millions of tons of fish per year, and n is the population size, in millions of tons of fish. a. Make a graph of G versus n. Include values of n up to 1.7 million tons. b. Calculate G(1.62) and explain what your answer means in practical terms. c. At what population size is the growth rate the largest?

A class of models for population growth rates in marine fisheries assumes that the harvest from fishing is proportional to the population size. One such model uses a quadratic function: G = 0.3n – 0.2n? Here G is the growth rate of the population, in millions of tons of fish per year, and n is the population size, in millions of tons of fish. a. Make a graph of G versus n. Include values of n up to 1.7 million tons. b. Calculate G(1.62) and explain what your answer means in practical terms. c. At what population size is the growth rate the largest?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 2E

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