The numbers of Twitter employees are shown in Table 34 for various years.
Table 34
Numbers of Twitter Employees
YearNumber of Employees
2008 …………………………………. 8
2009 …………………………………. 29
2010 …………………………………. 130
2011 …………………………………. 350
2012 …………………………………. 900
2013 ………………………………….2712
Let y be the number of Twitter employees at x years since 2005.
a. Construct a scatterplot.
b. Find an equation of a model.
c. Graph the model on the scatterplot. Verify that the model passes through the two points you chose in finding the equation in part (b) and that it comes close to all of the data points.
d. What is the base b of the model  = abx? What does it mean in this situation?
e. Use the model to estimate the number of employees in 2012. Compute and interpret the residual.