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? (c) In what year does the model predict the total personal income will reach $22 trillion? (b) The country's total personal income in 2006 will be $ (Round to three decimal places as needed.) Year 1956 1966 1976 1986 1996 2001 (c) The total personal income will reach $22 trillion in the year (Round up to the nearest year.) Personal Income (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. 406.8 839.7 2306.3 4881.5 8424.2 10,232.5

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Chapter2: Second-order Linear Odes
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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?
(c) In what year does the model predict the total personal income will reach $22
trillion?
points,
...
(b) The country's total personal income in 2006 will be $ billion.
(Round to three decimal places as needed.)
(c) The total personal income will reach $22 trillion in the year
(Round up to the nearest year.)
hp
(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.)
19
Year
1956
1966
1976
1986
1996
2001
ho
22 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions Contact U
f
Personal
Income
406.8
839.7
2306.3
4881.5
8424.2
10,232.5
112
Next
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? (c) In what year does the model predict the total personal income will reach $22 trillion? points, ... (b) The country's total personal income in 2006 will be $ billion. (Round to three decimal places as needed.) (c) The total personal income will reach $22 trillion in the year (Round up to the nearest year.) hp (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.) 19 Year 1956 1966 1976 1986 1996 2001 ho 22 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions Contact U f Personal Income 406.8 839.7 2306.3 4881.5 8424.2 10,232.5 112 Next
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