A certain community consists of 1800 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 A = 1800 1 + 1799e-0.6t where A is the number of people who have contracted the flu after t days. (a) How many people have contracted the flu after 13 days? Round your answer to the nearest whole number. people (b) What is the carrying capacity for this model? (c) How many days will it take for 550 people to contract the flu? Round your answer to the nearest whole number. days.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter17: Income, Poverty, And Health Care
Section: Chapter Questions
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A certain community consists of 1800 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
1800
1 + 1799e-0.6t
where A is the number of people who have contracted the flu after t days.
(a) How many people have contracted the flu after 13 days? Round your answer to the nearest whole number.
A =
people
(b) What is the carrying capacity for this model?
(c) How many days will it take for 550 people to contract the flu? Round your answer to the nearest whole
number.
days.
Transcribed Image Text:A certain community consists of 1800 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 1800 1 + 1799e-0.6t where A is the number of people who have contracted the flu after t days. (a) How many people have contracted the flu after 13 days? Round your answer to the nearest whole number. A = people (b) What is the carrying capacity for this model? (c) How many days will it take for 550 people to contract the flu? Round your answer to the nearest whole number. days.
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