uring a flu epidemic 1 percent of the 100 pupils at a school had the illness at a time t = 0. It was und that the rate at which pupils were contracting the flu was directly proportional to the product the number of pupils who had the flu and the remaining pupils who were not yet infected. If 5 ercent of the pupils had contracted the illness after t = 5 days, find the number of pupils who had ntracted the flu after t = 10 days.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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During a flu epidemic 1 percent of the 100 pupils at a school had the illness at a time t = 0. It was
found that the rate at which pupils were contracting the flu was directly proportional to the product
of the number of pupils who had the flu and the remaining pupils who were not yet infected. If 5
percent of the pupils had contracted the illness after t = 5 days, find the number of pupils who had
contracted the flu after t =
10 days.
Transcribed Image Text:During a flu epidemic 1 percent of the 100 pupils at a school had the illness at a time t = 0. It was found that the rate at which pupils were contracting the flu was directly proportional to the product of the number of pupils who had the flu and the remaining pupils who were not yet infected. If 5 percent of the pupils had contracted the illness after t = 5 days, find the number of pupils who had contracted the flu after t = 10 days.
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