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.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 13EQ

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