Sociologists have found that information spreads exponentially in a population. accordingly, the formula y = 525 (1 - e-0.038t) models the spread of information in a population of 525 people within t hours. how many people will have heard of the new grocery store within 24 hours of its announcement?

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Taylor Hickman

Mathematics

11 October, 11:02

Sociologists have found that information spreads exponentially in a population. accordingly, the formula y = 525 (1 - e-0.038t) models the spread of information in a population of 525 people within t hours. how many people will have heard of the new grocery store within 24 hours of its announcement?

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Schroeder · Answer 1

To identify the number of people who would have heard the news about the newly opened grocery store in the venue, we just have to substitute 24 hours in the equation provided. That is,

y = 525 (1 - e^ ((-0.038) (24))

y = 314.1

Thus, the approximate number of people which would have heard the news is approximately 314 people.