The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventually. The population is modeled by the function n = f(t) = a 1+ be 0.40 where t is measured in hours. At time t=0 the population is 30 cells and is increasing at a rate of 9 cells/hour. Find the values of a and b. a 12.39266 x b=0.239266 x According to this model, what happens to the yeast population in the long run? The yeast population will grow without bound. O The yeast population will stabilize at 3 cells. O The yeast population will stabilize at 60 cells. The yeast population will stabilize at 120 cells. O The yeast population will shrink to 0 cells. X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 54E
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The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventually. The population is modeled by the function
n = f(t) =
a
1+ be-0.4t
where t is measured in hours. At time t=0 the population is 30 cells and is increasing at a rate of 9 cells/hour. Find the values of a and b.
a 12.39266 x
b=0.239266 x
According to this model, what happens to the yeast population in the long run?
The yeast population will grow without bound.
O The yeast population will stabilize at 3 cells.
O The yeast population will stabilize at 60 cells.
The yeast population will stabilize at 120 cells.
O The yeast population will shrink to 0 cells.
X
Transcribed Image Text:The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventually. The population is modeled by the function n = f(t) = a 1+ be-0.4t where t is measured in hours. At time t=0 the population is 30 cells and is increasing at a rate of 9 cells/hour. Find the values of a and b. a 12.39266 x b=0.239266 x According to this model, what happens to the yeast population in the long run? The yeast population will grow without bound. O The yeast population will stabilize at 3 cells. O The yeast population will stabilize at 60 cells. The yeast population will stabilize at 120 cells. O The yeast population will shrink to 0 cells. X
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