The consumer price index (cpi) is a measure of the change in the cost of goods over time. if 1982 is used as the base year of comparison in some country (cpiequals100 in 1982), then the cpi of 205.6 in 2006 would indicate that an item that cost $ 1.00 in 1982 would cost $ 2.06 in 2006 in this country. it is known that the cpi in this country has been increasing at an approximately linear rate for the past 30 years. a. use this information to determine a linear function for this data, letting x be the years since 1982. b. based on your function, what was the cpi in 2000? compare this estimate to the actual cpi of 181.3 for this country. c. how is the annual cpi changing?