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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 and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CT: Chapter Test
Problem 11CT
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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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