The numbers of firearms discovered at TSA checkpoints in U.S. airports are shown in Table 33 for various years.
Table 33
Numbers of Firearms Discovered at TSA Checkpoints
YearNumber of Firearms
2005 …………………………….. 660
2007 …………………………….. 803
2009 …………………………….. 976
2011 ……………………………..1320
2013 ……………………………..1813
2014 ……………………………..2212
Let y be the number of firearms that were discovered at TSA checkpoints in the year that is 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 coefficient a of the model  = abx? What does it mean in this situation?
e. In 2014, 1835 of the discovered firearms were loaded. Assuming the percentage of discovered firearms that were loaded in 2012 was the same as in 2014, estimate the number of loaded firearms discovered in that year.