SOLUTION: The number of people in a community who hear a particular rumor is governed by the
logistic model
R(t) =
L 1 + Me−κt where R(t) represents the number of people who ha
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Exponential-and-logarithmic-functions
-> SOLUTION: The number of people in a community who hear a particular rumor is governed by the
logistic model
R(t) =
L 1 + Me−κt where R(t) represents the number of people who ha
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Question 1099218: The number of people in a community who hear a particular rumor is governed by the
logistic model
R(t) =
L 1 + Me−κt where R(t) represents the number of people who have heard the rumor t days after the
rumor initially was told by one person to another person. The constants L, M and κ
are to be determined from observations of the spreading rumor.
The following observations of the rumor “The cake is a lie” spreading across a uni
versity campus are made • Initially one student tells another student the rumor, that is, only 2 students have heard the rumor. • The rumor spreads to 10 students after 1 day. • After a number of days of observations it is predicted that eventually, that is, after a very long time, 200 students on campus will have heard the rumor.
Given the three pieces of information provided from the observations of the rumor, find
the exact values of the constants L, M and κ. Write the equation describing how many
people have heard the rumor at time t days after the rumor starts.
