The table below gives the U.S. consumer price index (CPI) for selected years from 2012 and projected

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, 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?