Question: The table below gives the U.S. consumer price index (CPI) for selected years from 2012 and projected to 2050. With the reference year as 2012,

The table below gives the U.S. consumer price index (CPI) for selected years from 2012 and projected to 2050. With the reference year as 2012, a 2020 CPI = 120.56 means goods and services that cost $100.00 in 2012 are expected to cost $120.56 in 2020.

(a) Find the exponential function that is the best fit for the data, with x as the number of years past 2010 and y as the CPI in dollars.

(b) Graph the model and the data on the same axes.

(d) According to the model, in what year will the CPI pass $250?

Year CPI Year CPI 2012 100.00 2030 158.90 2014 104.00 2035 182.43 2016 2040 209.44 108.58 2018 114.09 2045 240.45 276.05 2020 120.56 2050 2025 138.41

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