A "logistic model" is a form of exponential growth that has an upper limit. It is often used for modeling disease outbreaks.The number of cases in a virus outbreak is 5000 given by the logistic model V where t is measured in days. -ht 1 1+39e a) How many people have the virus on Day Zero? b) If 2500 people are sick on Day 12, show that h = In(39). %3D 12 c) A researcher incorrectly assumes that an exponential model is more appropriate for the outbreak; he calculates a model of V 90 (3) ". Find the two values of t (correct to 3 decimal places) for which the 2 models predict the same number of sick %3D people. Justify your answer with a sketch.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A "logistic model" is a form of exponential growth that has an upper limit. It is often
used for modeling disease outbreaks.The number of cases in a virus outbreak is
6.
5000
given by the logistic model V
where t is measured in days.
%3D
-ht y
1+39e
a) How many people have the virus on Day Zero?
b) If 2500 people are sick on Day 12, show that h =
급n(39).
%3D
12
c) A researcher incorrectly assumes that an exponential model is more appropriate for
the outbreak; he calculates a model of V = 90 · (3) . Find the two values of t
(correct to 3 decimal places) for which the 2 models predict the same number of sick
people. Justify your answer with a sketch.
Transcribed Image Text:A "logistic model" is a form of exponential growth that has an upper limit. It is often used for modeling disease outbreaks.The number of cases in a virus outbreak is 6. 5000 given by the logistic model V where t is measured in days. %3D -ht y 1+39e a) How many people have the virus on Day Zero? b) If 2500 people are sick on Day 12, show that h = 급n(39). %3D 12 c) A researcher incorrectly assumes that an exponential model is more appropriate for the outbreak; he calculates a model of V = 90 · (3) . Find the two values of t (correct to 3 decimal places) for which the 2 models predict the same number of sick people. Justify your answer with a sketch.
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