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The number of users of social media has increased significantly since the year 2001. In fact, the approximate number of users has tripled each year. It was reported that in 2005 there were 3 million users of social media.
a. Assuming that the number of users continues to triple each year, for the next three years, determine the number of users in 2006, 2007, and 2008.
b. Assume the trend in the numbers of users tripling each year was true for all years from 2001 to 2009. Complete the table below using 2005 as year 1 with 3 million as the number of users that year.
c. Given only the number of users in 2005 and the assumption that the number of users triples each year, how did you determine the number of users for years 2, 3, 4, and 5?
d. Given only the number of users in 2005 and the assumption that the number of users triples each year, how did you determine the number of users for years 0, −1, −2, and −3?
e. Write an equation to represent the number of users in millions, , for year , �� −3.
f. Using the context of the problem, explain whether or not the formula = 3t would work for finding the number of users in millions in year , for all ≤ 0.
g. Assume the total number of users continues to triple each year after 2009. Determine the number of users in 2012. Given that the world population at the end of 2011 was approximately 7 billion, is this assumption reasonable? Explain your reasoning.
