A non-native species of fish is introduced into a lake and is attacking a certain type of native species of fish. The following functions model the populations of the two species of fish for 0 ≥ t ≥ 9 where t is the number of months since the fish was introduced. Native: x(t) = -447.94t3 - 520t2 + 44992t + 150000 Non-native: y(t) = -589.14t3 - 0.7t2 + 5994t + 20 a.) Will the native species survive 9 months? b.) When, in the nine months, will the population of the native species reach a maximum? c.) When, in the nine months, will the population of the non-native species reach a maximum?

A non-native species of fish is introduced into a lake and is attacking a certain type of native species of fish. The following functions model the populations of the two species of fish for 0 ≥ t ≥ 9 where t is the number of months since the fish was introduced. Native: x(t) = -447.94t3 - 520t2 + 44992t + 150000 Non-native: y(t) = -589.14t3 - 0.7t2 + 5994t + 20 a.) Will the native species survive 9 months? b.) When, in the nine months, will the population of the native species reach a maximum? c.) When, in the nine months, will the population of the non-native species reach a maximum?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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