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Sociologists have found that information spreads among a population at an exponential rate. Suppose that the function y=525(1−e^−0.038t) models the nu

Exponential models
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asked 2021-07-05

Sociologists have found that information spreads among a population at an exponential rate. Suppose that the function \( y=525(1−e^{−0.038t})\) models the number of people in a town of 525 people who have heard news within t hours of its distribution. How many people will have heard about the opening of a new grocery store within 24 hours of the announcement?

Answers (1)

2021-07-06

To determine how many people will have heard about the opening plug in \(t=24\)
\(\displaystyle{y}={525}{\left({1}-{e}^{{-{{0.038}}}}{\left({24}\right)}\right)}\)
\(\sim314\)

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