The table shows the total personal income in the United States (in billions of dollars) for selected years from 1960 and projected to 2024. Year Income ($ billions) Year Income ($ billions) 1960 411.5 2008 12,100.7 1970 838.8 2014 14,728.6 1980 2307.9 2018 19,129.6 1990 4878.6 2024 22,685.1 2000 8429.7 These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years past 1960 and y as the total personal income in billions of dollars. (Round your numerical values to three decimal places.)
The table shows the total personal income in the United States (in billions of dollars) for selected years from 1960 and projected to 2024. Year Income ($ billions) Year Income ($ billions) 1960 411.5 2008 12,100.7 1970 838.8 2014 14,728.6 1980 2307.9 2018 19,129.6 1990 4878.6 2024 22,685.1 2000 8429.7 These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years past 1960 and y as the total personal income in billions of dollars. (Round your numerical values to three decimal places.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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The table shows the total personal income in the United States (in billions of dollars) for selected years from 1960 and projected to 2024.
| Year | Income ($ billions) | Year | Income ($ billions) |
|---|---|---|---|
| 1960 | 411.5 | 2008 | 12,100.7 |
| 1970 | 838.8 | 2014 | 14,728.6 |
| 1980 | 2307.9 | 2018 | 19,129.6 |
| 1990 | 4878.6 | 2024 | 22,685.1 |
| 2000 | 8429.7 |
These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years past 1960 and y as the total personal income in billions of dollars. (Round your numerical values to three decimal places.)
y =
y =
812580.292
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