SOLUTION: If all who hear a rumor repeat it to two people a day, and if 10 people start the rumor, then number of people N who have heard the rumor after t days is given by N(t) = 10(3)t.

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Question 251391: If all who hear a rumor repeat it to two people a day, and if 10 people start the rumor, then number of people N who have heard the rumor after t days is given by N(t) = 10(3)t. After what amount of time will 2000 have heard the rumor?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Plug in N%28t%29=2000 to get 2000=10%2A3%5Et. From here, divide both sides by 10 to get 200=3%5Et. Next use logarithms to isolate 't' (you'll get an approximate answer).


Note: your answer should be t=log%283%2C%28200%29%29=4.8227 (the last part is approximate). So this means that it will take about 5 days for 2000 to hear the rumor.