Inflation—50 Points Year CPI Year CPI Year CPI 1970 38.8 1990 130.7 2010 218.1 1971 40.5 1991 136.2 2011 224.9 1972 41.8 1992 140.3 2012 229.6 1973 44.4 1993 144.5 2013 233.0 1974 49.3 1994 148.2 2014 236.7 1975 53.8 1995 152.4 2015 237.0 1976 56.9 1996 156.9 2016 240.0 1977 60.6 1997 160.5 2017 245.1 1978 65.2 1998 163 2018 251.0 1979 72.6 1999 166.6 1980 82.4 2000 172.2 1981 90.9 2001 177.1 1982 96.5 2002 179.9 1983 100.0 2003 184 1984 103.9 2004 188.9 1985 107.6 2005 195.3 1986 109.6 2006 201.6 1987 113.6 2007 207.3 1988 118.3 2008 215.3 1989 124 2009 214.5 Based on the above table answer the following questions; A) What year is the base year? (15) B) In which year, did we experience deflation? (15) C) What was the rate of inflation between 1970 and 1980? (15) D) If you earned $10,000 in 1990, how much would you have had to earn in 2016 in order to maintain the same purchasing power? (5)

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24