Posted by Brielle on Sunday, February 24, 2008 at 9:05pm.
the population of humorville is 8,500 people. in this town, jokes travel fast. in one hour, each person who hears a joke tells three other people who have not heard it, and tells no one else. last frieday, a visitor from out of town told the police chief a new joke at 10:00 a.m. how long did it take for everyone in humorville to hear the joke?

math  Reiny, Sunday, February 24, 2008 at 9:34pm
at 10:00 one person heard it
at 11:00 1 + 3 heard it
at 12:00 1 + 3 + 9 hear it
..
.
looks like a geometric series with
a=1
r = 3, and S_{n} = 8500
1(3^n  1)/(31) = 8500
3^n  1 = 17000
3^n = 17001
n = log 17001/lg3
n = 8.86 hours or appr 9 hours
so at 19:00 hrs, or in the US way of stating time, at 7:00 pm

math  josh, Sunday, February 24, 2008 at 11:05pm
poopie
Answer This Question
Related Questions
 Math  The population of humorville is 8,500 people. In this town, jokes travel ...
 Math  The population of humorville is 8500 people. In this town Jokes travel ...
 algebra  The population of humorville is 8500 people. In this town jokes travel...
 Algebra  Question: Looking below is this answer correct? If you follow the math...
 Math  In a community of 800 people the rate at which a rumor spreads is jointly...
 Language Art help  How does the great radio scare help you gain an ...
 Precal  The number of people in a town of 10,000 who have heard a rumor started...
 math 157  at the first tri city meeting where 8 people are from twon A 7 people...
 math 157  at the first tri city meeting where 8 people are from twon A 7 people...
 Math  The number, N, of people who have heard a rumor spread by mass media by ...
More Related Questions