A certain community consists of 3000 people, and one individual has a particularly contagious strain of influenza. Assuming the community has not had vaccination shots and are all susceptible, the spread of the disease in the community is modeled by 3000 A = 1+ 2999e– 0.5t where A is the number of people who have contracted the flu after t days.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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A certain community consists of 3000 people, and one individual has a particularly contagious strain of
influenza. Assuming the community has not had vaccination shots and are all susceptible, the spread of the
disease in the community is modeled by
3000
A
1 + 2999e - 0.5t
where A is the number of people who have contracted the flu after t days.
(a) How many people have contracted the flu after 10 days? Round your answer to the nearest whole
number.
реople
(b) What is the carrying capacity for this model?
(c) How many days will it take for 225 people to contract the flu? Round your answer to the nearest whole
number.
days.
Transcribed Image Text:A certain community consists of 3000 people, and one individual has a particularly contagious strain of influenza. Assuming the community has not had vaccination shots and are all susceptible, the spread of the disease in the community is modeled by 3000 A 1 + 2999e - 0.5t where A is the number of people who have contracted the flu after t days. (a) How many people have contracted the flu after 10 days? Round your answer to the nearest whole number. реople (b) What is the carrying capacity for this model? (c) How many days will it take for 225 people to contract the flu? Round your answer to the nearest whole number. days.
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