The equation developed in the text for the spread of an epidemic also can be used to

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The equation developed in the text for the spread of an epidemic also can be used to describe diffusion of information. In a population of size N, let y be the number who have heard a particular piece of information. Then

for a positive constant k. Use this model in Exercises.

A news item is heard on the late news by 5 of the 100 people in a small community. By the end of the next day 20 people have heard the news. Using Equation (6), write an equation for the number of people who have heard the news in t days. How many have heard the news after 3 days?

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