Using Social Security Administration data for selected years from 2012 and projected to 2050, the U.S. consumer price index (CPI) can be modeled by the function

y = 0.0682x² + 1.76x + 96.0

where x is the number of years past 2010 and y is the CPI in dollars. With a reference of 100 in 2012, a CPI of 120 in another year means that goods and services costing $100 in 2012 are expected to cost $120 in that other year.

(a) Use a table to determine a viewing window that shows a complete graph of this function for the years from 2010 to 2050.

(b) Graph the function.

(c) Use the graph to estimate when the CPI is predicted to reach 200.