Total personal income of the country (in billions of dollars) for selected years from 1956 to 2001 is given in the table. (a) These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years after 1956. (b) If this model is accurate, what will be the country's total personal income in 2006? Year 1956 1966 1976 1986 1996 2001 Personal Income 411.3 840.5 2314.5 4882.1 8421.2 10,238.9
Total personal income of the country (in billions of dollars) for selected years from 1956 to 2001 is given in the table. (a) These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years after 1956. (b) If this model is accurate, what will be the country's total personal income in 2006? Year 1956 1966 1976 1986 1996 2001 Personal Income 411.3 840.5 2314.5 4882.1 8421.2 10,238.9
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 33PT: Enter the data from Table 2 into a graphing calculator and graph the ranking scatter plot. Determine...
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Question
![Total personal income of the country (in billions of dollars) for selected years from
1956 to 2001 is given in the table.
(a) These data can be modeled by an exponential function. Write the equation of
this function, with x as the number of years after 1956.
(b) If this model is accurate, what will be the country's total personal income in
2006?
Year
1956
1966
1976
1986
1996
2001
(b) The country's total personal income in 2006 will be $
(Round to three decimal places as needed.)
Personal
Income
411.3
840.5
2314.5
4882.1
8421.2
10,238.9
(a) The equation of an exponential function that models the data is y=.
(Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)
billion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F556745e6-02d3-4800-a933-7dc40a753d9d%2Fbabdcf20-f8dc-4b7b-a08c-36997ebeaf40%2Fv377fos_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Total personal income of the country (in billions of dollars) for selected years from
1956 to 2001 is given in the table.
(a) These data can be modeled by an exponential function. Write the equation of
this function, with x as the number of years after 1956.
(b) If this model is accurate, what will be the country's total personal income in
2006?
Year
1956
1966
1976
1986
1996
2001
(b) The country's total personal income in 2006 will be $
(Round to three decimal places as needed.)
Personal
Income
411.3
840.5
2314.5
4882.1
8421.2
10,238.9
(a) The equation of an exponential function that models the data is y=.
(Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)
billion.
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