A certain community consists of 2000 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 2000 A = 1 + 1999e- 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 7 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 700 people to contract the flu? Round your answer to the nearest whole number. days.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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A certain community consists of 2000 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
2000
A =
Immim
1 + 1999e- 0.6t
where A is the number of people who have contracted the flu aftert days.
(a) How many people have contracted the flu after 7 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 700 people to contract the flu? Round your answer to the nearest whole
number.
days.
Transcribed Image Text:A certain community consists of 2000 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 2000 A = Immim 1 + 1999e- 0.6t where A is the number of people who have contracted the flu aftert days. (a) How many people have contracted the flu after 7 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 700 people to contract the flu? Round your answer to the nearest whole number. days.
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