The poaching model for Species Z is Z' = a Z (1Z) - b where the variable Z represents the population of Species Z and Z = 0.2 when t = 0. If a = 0.4 and b = 0.14, what can be said about the population of Species Z in the long run?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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The poaching model for Species Z is
Z' = a Z (1Z) - b
where the variable Z represents the population of
Species Z and Z = 0.2 when t = 0. If a = 0.4 and
b = 0.14, what can be said about the population
of Species Z in the long run?
a) The population will level off near 85% of its
carrying capacity.
b) The population will level off near 79% of its
carrying capacity.
c)
The population will die off.
od) The population will level off near 66% of its
carrying capacity.
Transcribed Image Text:The poaching model for Species Z is Z' = a Z (1Z) - b where the variable Z represents the population of Species Z and Z = 0.2 when t = 0. If a = 0.4 and b = 0.14, what can be said about the population of Species Z in the long run? a) The population will level off near 85% of its carrying capacity. b) The population will level off near 79% of its carrying capacity. c) The population will die off. od) The population will level off near 66% of its carrying capacity.
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