1. A bacterial population is known to have a logistic growth pattern with initial population 1,000 and an equilibrium population of 10,000. A count shows that at the end of 1 hour, there are 2,000 bacteria present. Determine the population as a function of time.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.1: Sequences
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Solve the following problems. Show a detailed solution from making the general solution up to solving the required values. (Do not use directly the derived general solutions.)

1. A bacterial population is known to have a logistic growth pattern with initial population
1,000 and an equilibrium population of 10,000. A count shows that at the end of 1 hour,
there are 2,000 bacteria present. Determine the population as a function of time.
Transcribed Image Text:1. A bacterial population is known to have a logistic growth pattern with initial population 1,000 and an equilibrium population of 10,000. A count shows that at the end of 1 hour, there are 2,000 bacteria present. Determine the population as a function of time.
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