Suppose that the number P(t) of bacteria in a culture after t days is given by the formula P(t) = 23 ( 1.67 )t Find the growth rate of the bacteria, which is value of k so that P(t) = P₁ekt where Po is the initial size of the population.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Suppose that the number P(t) of bacteria in a culture after t days is given by the formula
P(t) = 23 ( 1.67 )t
Find the growth rate of the bacteria, which is value of k so that
P(t) = Poekt
where Po is the initial size of the population.
Transcribed Image Text:Suppose that the number P(t) of bacteria in a culture after t days is given by the formula P(t) = 23 ( 1.67 )t Find the growth rate of the bacteria, which is value of k so that P(t) = Poekt where Po is the initial size of the population.
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