. A certain national park is known to be able to support at most 100 grizzly bears. Ten bears are known to be in the park at present. Assume that the bear population growth is logistic in nature with a proportionality constant of k = 0.001. a. Determine the population of bears y(t) as an explicit function of time t. b. When will the bear population be 25? 50? c. Approximately when will the bear population become constant?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 12PFA
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Find a, b, and c. Specifically focus on C more because I am getting different answers and I plugged in 99.5 which is a close number between 100 but it was wrong.

. A certain national park is known to be able to support at most 100 grizzly bears. Ten bears
are known to be in the park at present. Assume that the bear population growth is logistic in
nature with a proportionality constant of k = 0.001.
a. Determine the population of bears y(t) as an explicit function of time t.
b. When will the bear population be 25? 50?
c. Approximately when will the bear population become constant?
Transcribed Image Text:. A certain national park is known to be able to support at most 100 grizzly bears. Ten bears are known to be in the park at present. Assume that the bear population growth is logistic in nature with a proportionality constant of k = 0.001. a. Determine the population of bears y(t) as an explicit function of time t. b. When will the bear population be 25? 50? c. Approximately when will the bear population become constant?
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