Question 1042208
the table shows the consumer price index in the year indicated and the percent growth rate in that index from the previous year.


for example:


1999	166.6	2.2
2000	172.2	3.4
2001	177.1	2.8 *****
2002	179.9	1.6 *****
2003	184.0	2.3 *****
2004	188.9	2.7
2005	195.3	3.4 


in 2002 the consumer price index was 179.9.
in 2003, the consumer price index was 184.0.
this represented a 2.3% increase from what it was in 2002.
in 2004, the consumer price index was 188.9.
this represented a 2.7% increase from what it was in 2003.
in 2005, the consumer price index was 195.3.
this represented a 3.4% increase from 2004.


you bought the jacket in 2002 and it cost you 470.


in 2003, the price would have increased 2.3%.
in 2004, the price would have increased an additional 2.7%.
in 2005, the price would have increased an additional 3.4%.


an increase of 2.3% is the same as multiplying by a factor of 1.023.
an increase of 2.7% is the same as multiplying by a factor of 1.027.
an increase of 3.4% is the same as multiplying by a factor of 1.034.


the price was 470 in 2002.
the price would be 470 * 1.023 in 2003.
the price would be 470 * 1.023 * 1.027 in 2004.
the price would be 470 * 1.023 * 1.027 * 1.034 in 2005.


470 * 1.023 * 1.027 * 1.034 = 510.5807936.


round that to the nearest dollars and you get 511.


the price would have been 511 in 2005, based on the percent increases indicated in the table.