Let P(t) represent the number of grizzly bears in a population at time t years, when t ≥ 0. The population P(t) is increasing at a rate directly proportional to 600 - P(t), where the constant of proportionality is k. If P(0) = 400, find P(t) in terms of t and k.
Let P(t) represent the number of grizzly bears in a population at time t years, when t ≥ 0. The population P(t) is increasing at a rate directly proportional to 600 - P(t), where the constant of proportionality is k. If P(0) = 400, find P(t) in terms of t and k.
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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