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The spread of a rumor in a group of people can be modeled by a logistic growth equation. In a business of 1000 employees, if 10% of the employees have heard the rumor at time t = 0 days and the number of people who have heard the rumor is growing at a rate of 120 employees/day at that time (hint: useful for finding r), find a differential equation to model this situation and solve it to find a formula for the number of employees who have heard the rumor at time t. Sketch the phase graph for your equation and clearly identify any equilibrium points and classify them by type.

The spread of a rumor in a group of people can be modeled by a logistic growth equation. In a business of 1000 employees, if 10% of the employees have heard the rumor at time t = 0 days and the number of people who have heard the rumor is growing at a rate of 120 employees/day at that time (hint: useful for finding r), find a differential equation to model this situation and solve it to find a formula for the number of employees who have heard the rumor at time t. Sketch the phase graph for your equation and clearly identify any equilibrium points and classify them by type.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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The spread of a rumor in a group of people can be modeled by a logistic growth equation. In a business of 1000 employees, if 10% of the employees have heard the rumor at time t = 0 days and the number of people who have heard the rumor is growing at a rate of 120 employees/day at that time (hint: useful for finding r), find a differential equation to model this situation and solve it to find a formula for the number of employees who have heard the rumor at time t. Sketch the phase graph for your equation and clearly identify any equilibrium points and classify them by type.
Transcribed Image Text:The spread of a rumor in a group of people can be modeled by a logistic growth equation. In a business of 1000 employees, if 10% of the employees have heard the rumor at time t = 0 days and the number of people who have heard the rumor is growing at a rate of 120 employees/day at that time (hint: useful for finding r), find a differential equation to model this situation and solve it to find a formula for the number of employees who have heard the rumor at time t. Sketch the phase graph for your equation and clearly identify any equilibrium points and classify them by type.
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