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Chapter 5: Q. 106 (page 286)

Spreading of Rumors A model for the number N of people in a college community who have heard a certain rumor is

N=P(1-e-0.15d)

whereP is the total population of the community and dis the number of days that have elapsed since the rumor began. In a community of 1000 students, how many students will have heard the rumor after 3 days?

Short Answer

Expert verified

In a community of 1000 students, approx 362 students will have heard the rumor after 3 days

Step by step solution

01

Step 1.Given information

Let us consider the total population be.
And the number of people who heard the rumor be
ThenN=P(1-e-0.15d)

02

Step 2.Finding how many students will have heard the rumor after 3 days? 

Let the number of days be 3 the total population be 1000
Then we get

N=P(1-e-0.15d)=1000(1-e-0.15脳3)=362.3718484鈮�362

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