SOLUTION: Between the start of 2005 and the end of 2009, the number of Facebook users can be modelled by the exponential equation u=0.43x(3.17)^t where u is the number of users in millions
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Question 1035413: Between the start of 2005 and the end of 2009, the number of Facebook users can be modelled by the exponential equation u=0.43x(3.17)^t where u is the number of users in millions and t is the number of years since the start of 2004 (1<=t,6). So after 1 year (t=1) there are 1.4 million users (to 1 dp)
Find the number of years in which the exponential model predicts that the number of users would first reach 200 million.
I believe I have worked correctly that year 2 = 4.3 and year 3 = 13.7 but I don't know a 'quick' way to reach 200 million
Thank You
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Take log base 10 of both sides
200 million is reached in 5 years
Would that be past 2009 in 2010? I think so.
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check:
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Error due to rounding off, or I made some
math error, or both
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