Total personal ncome of the country (n bllons of dollars) for selected years fro
ID: 2983954 • Letter: T
Question
Total personal ncome of the country (n bllons of dollars) for selected years from 1959-2004 s gven n the table.
Year -----Personal ncome
1959(0)-----407.8
1969(10)-----837.4
1979(20)-----2312.9
1989(30)-----4884.1
1999(40)-----8428.3
2004(45)-----10,232.7
A)These data can be modeled by an exponental functon, wrte the equaton of ths functon, wth x as the number of years after 1959. Put number of years n parentheses. The equaton of the exponental functon that models the data s
Y=
(round to nearest 3 decmal places as needed, an example Y=337.906(1.084^x)
B) f Ths model s accurate, what wll be the countrys total personal ncome n 2009? To estmate the countrys total personal ncome for the year 2009, fnd the x-value for the year 2009. Recall that x s the number of years after 1959(50 years).
(an example of answer: Y=19,066.019)
C)n what year does the model predct the total personal ncome wll reach $21 trllon? Use table feaure of graphng utlty.
Year ____
Explanation / Answer
A) Y = 407.8(1.075^x) where x is the number of years past 1959
B) Year 2009
Y = 407.8(1.075^50) = 14,889.355
C) x = 427 so the year is 2386
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