SOLUTION: A model for the number of people N in a college community who have heard a rumor is: N= P*(1-e^-0.15d) where P is the total population of the community and d is the number of day

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Question 62427: A model for the number of people N in a college community who have heard a rumor is: N= P*(1-e^-0.15d)
where P is the total population of the community and d is the number of days that have elasped since the rumor began. In a community of 10,000 students, how many students will have heard the rumor after 3 days?

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
A model for the number of people N in a college community who have heard a rumor is: N= P*(1-e^(-0.15d))
where P is the total population of the community and d is the number of days that have elasped since the rumor began. In a community of 10,000 students, how many students will have heard the rumor after 3 days?
Let P=10,000 and d=3
N= 10000*(1-e^(-0.15(3))
N=10000*(1-e^(-.45))
N=10000*(1-.6376281516)
N=10000*(.3623718484)
N=3623.718484 Round off to a whole student.
N=3,623
That's a lot of students!
Happy Calculating!!!