A certain community consists of 4700 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 4700 A %3D 1 + 4699e¬ 0.55t where A is the number of people who have contracted the flu after t days. (a) How many people have contracted the flu after 6 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 400 people to contract the flu? Round your answer to the nearest whole number. days.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 55E
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A certain community consists of 4700 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
4700
A
1 + 4699e 0.55t
where A is the number of people who have contracted the
flu after t days.
(a) How many people have contracted the flu after 6 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 400 people to contract
the flu? Round your answer to the nearest whole number.
days.
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Transcribed Image Text:A certain community consists of 4700 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 4700 A 1 + 4699e 0.55t where A is the number of people who have contracted the flu after t days. (a) How many people have contracted the flu after 6 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 400 people to contract the flu? Round your answer to the nearest whole number. days. Question Help: D Video 1 D Video 2 M Message instructor
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