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)/(3-1) = 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

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