Suppose a rumor is going around a group of 194 people. Initially, only 31 members of the group have heard the rumor, but 4 days later 66 people have heard it. Using a logistic growth model, how many people are expected to have heard the rumor after 7 days total have passed since it was initially spread? (Round your answer to the nearest whole person.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 2
Suppose a rumor is going around a group of 194 people. Initially, only 31 members of
the group have heard the rumor, but 4 days later 66 people have heard it. Using a
logistic growth model, how many people are expected to have heard the rumor after 7
days total have passed since it was initially spread? (Round your answer to the nearest
whole person.)
Logistic Growth Model
dP
= kP(C – P)
%3D
dt
where k is a constant and Cis the carrying capacity of the population P.
HINT:
1
P(C- P)
Warning!
Only round your final answer according to the problem requirements. Be sure to
keep as much precision as possible for the intermediate numbers. If you round
the intermediate numbers, the accumulated rounding error might make your
final answer wrong. (This is true in general, not just in this problem.)
Transcribed Image Text:Question 2 Suppose a rumor is going around a group of 194 people. Initially, only 31 members of the group have heard the rumor, but 4 days later 66 people have heard it. Using a logistic growth model, how many people are expected to have heard the rumor after 7 days total have passed since it was initially spread? (Round your answer to the nearest whole person.) Logistic Growth Model dP = kP(C – P) %3D dt where k is a constant and Cis the carrying capacity of the population P. HINT: 1 P(C- P) Warning! Only round your final answer according to the problem requirements. Be sure to keep as much precision as possible for the intermediate numbers. If you round the intermediate numbers, the accumulated rounding error might make your final answer wrong. (This is true in general, not just in this problem.)
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