Question

A small town has 2000 inhabitants. At 8 AM, 160 people have heard a rumor. By noon half the town has heard it. At what time will 90% of the population have heard the rumor

Answer 1

1:17pm

Explanation:

160 to 1000 in 4 hours

1000 = 160 e^(kt) when t = 4 k = .458145

90 % of 2000 = 1800

1800 = 160 e^(.458145 t) t = 5.283 hours from 8 o'clock

= 1: 17 pm