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Total personal income of the country (in billions of dollars) for selected years from 195 uotion of this

Total personal income of the country (in billions of dollars) for selected years from 195 uotion of this

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 78E
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Year Personal Income Total personal income of the country (in billions of dollars) for selected years from 1957 to 2002 is given in the table. 1957 407.3 (a) These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years after 1957. (b) If this model is accurate, what will be the country's total personal income in 2007? (c) In what year does the model predict the total personal income will reach $23 trillion? 1967 837.3 1977 2310.3 1987 4881.4 1997 8427.2 2002 10,236.5 (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.)
Transcribed Image Text:Year Personal Income Total personal income of the country (in billions of dollars) for selected years from 1957 to 2002 is given in the table. 1957 407.3 (a) These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years after 1957. (b) If this model is accurate, what will be the country's total personal income in 2007? (c) In what year does the model predict the total personal income will reach $23 trillion? 1967 837.3 1977 2310.3 1987 4881.4 1997 8427.2 2002 10,236.5 (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.)
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