The number Y of yeast organisms in a culture is given by the model Y = 663 1 + 72e0.547t
Chapter 4, Problem 46(choose chapter or problem)
The number Y of yeast organisms in a culture is given by the model
\(Y=\frac{663}{1+72 e^{-0.547 t}}\)
where t represents the time (in hours).
(a) Use a graphing utility to graph the model.
(b) Use the model to predict the populations for the 19th hour and the 30th hour.
(c) According to this model, what is the limiting value of the population?
(d) Why do you think this population of yeast follows a logistic growth model instead of an exponential growth model?
Text Transcription:
Y = 663 / 1 + 72e ^−0.547t
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