In 1998, 200 bears were introduced to a large island off Alaska where previously there were no bears. The population increased exponentially according to B(t) = Bo × aº, where a > 0 is a constant and t is the time in years since the introduction. a. In year 2000, there were 242 bears. Find a, and interpret your answer. b. Find the expected bear population in 2021. c. How long will it take for the population to reach 2000?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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In 1998, 200 bears were introduced to a large island off Alaska where previously there were no
bears. The population increased exponentially according to B(t) = Bo x a', where a > o is a constant and t
is the time in years since the introduction.
a. In year 2000, there were 242 bears. Find a, and interpret your answer.
b. Find the expected bear population in 2021.
c. How long will it take for the population to reach 2000?
Transcribed Image Text:In 1998, 200 bears were introduced to a large island off Alaska where previously there were no bears. The population increased exponentially according to B(t) = Bo x a', where a > o is a constant and t is the time in years since the introduction. a. In year 2000, there were 242 bears. Find a, and interpret your answer. b. Find the expected bear population in 2021. c. How long will it take for the population to reach 2000?
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