Question

# 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

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?

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