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.

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) (Show Source): You can put this solution on YOUR website!
Hint: Plug in to get . From here, divide both sides by 10 to get . Next use logarithms to isolate 't' (you'll get an approximate answer).

Note: your answer should be (the last part is approximate). So this means that it will take about 5 days for 2000 to hear the rumor.
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