3. The rate of change of the number of people who knows a certain rumor is proportional to the number of people who knows it and to the number of people who does not know it. A school has a population of 20,000. One person starts to spread a rumor. After 1 day, 15 people know about the rumor. Develop a model that predicts the number of people who knows the rumor. How many people will know of the rumor after 3 days? Approximately how many days will it take for everyone to know about the rumor?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Please solve this problem about application of differential equation
3. The rate of change of the number of
people who knows a certain rumor is
proportional to the number of people
who knows it and to the number of
people who does not know it. A
school has a population of 20,000. One
person starts to spread a rumor. After
day, 15 people know about the
rumor. Develop a model that predicts
the number of people who knows the
rumor. How many people will know
of the rumor after 3 days?
Approximately how many days will it
take for everyone to know about the
rumor?
Transcribed Image Text:3. The rate of change of the number of people who knows a certain rumor is proportional to the number of people who knows it and to the number of people who does not know it. A school has a population of 20,000. One person starts to spread a rumor. After day, 15 people know about the rumor. Develop a model that predicts the number of people who knows the rumor. How many people will know of the rumor after 3 days? Approximately how many days will it take for everyone to know about the rumor?
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