The table shows the numbers an (in thousands) of residents of Alabama from 2010 through 2015.

(a) Find the first differences of the data shown in the table. Then find a linear model that approximates the data. Let n represent the year, with n = 10 corresponding to 2010.

(b) Use a graphing utility to find a linear model for the data. Compare this model with the model from part (a).
(c) Use the models found in parts (a) and (b) to predict the number of residents in 2021. How do these values compare?

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Number of Residents, a, Year 2010 4785 2011 4801 2012 4816 2013 4831 2014 4846 2015 4859 Spreadsheet at Larson Precalculus.com Welcome to Alabama the Beautiful 1.