Using Social Security Administration data for selected years from 2012 and projected to 2050, the U.S. consumer price index (CPI) can be described by the equation C = 0.068  + 1.8t + 96 where t is the number of years past 2010. With 2012 as the reference year, a year in which the CPI = 120.56 means goods and services that cost $100.00 in 2012 are expected to cost $120.56 in that year. Find the year in which the CPI is predicted to reach 150.00.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.58TI: What is the total effect on the economy of a government tax rebate of $500 to each household in...
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Using Social Security Administration data for selected years from 2012 and projected to 2050, the U.S. consumer price index (CPI) can be described by the equation

C = 0.068  + 1.8t + 96

where t is the number of years past 2010. With 2012 as the reference year, a year in which the CPI = 120.56 means goods and services that cost $100.00 in 2012 are expected to cost $120.56 in that year. Find the year in which the CPI is predicted to reach 150.00.

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