The table shows the total personal income in a country (in billions of dollars) for selected years from 1960 and projected to 2024. Complete parts (a) and (b) below. ... Income ($ billions) y=(x²+x+(0 (Type integers or decimals rounded to three decimal places as needed.) Income ($ billions) 12100.8 14728.6 19129.7 Year Year 1960 411.7 2008 1970 838.6 2014 1980 2307.9 2018 1990 4878.7 2024 22685.5 8429.9 2000 a. These data can be modeled by a quadratic function. Write the equation of this function, with x equal to the number of years after 1960. b. In what year does the model predict the total personal income will reach $24.772 trillion? The unrounded model predicts the total personal income will reach $24.772 trillion in L

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The table shows the total personal income in a country (in billions of
dollars) for selected years from 1960 and projected to 2024. Complete
parts (a) and (b) below.
….
Year
1960
1970
1980
y=(x²+x+
(Type integers or decimals rounded to three decimal places as needed.)
1990
2000
Income
($ billions)
Year
411.7
2008
838.6
2014
2307.9 2018
4878.7 2024 22685.5
8429.9
Income
($ billions)
12100.8
14728.6
19129.7
a. These data can be modeled by a quadratic function. Write the equation of this function, with x equal to the
number of years after 1960.
b. In what year does the model predict the total personal income will reach $24.772 trillion?
The unrounded model predicts the total personal income will reach $24.772 trillion in
Transcribed Image Text:The table shows the total personal income in a country (in billions of dollars) for selected years from 1960 and projected to 2024. Complete parts (a) and (b) below. …. Year 1960 1970 1980 y=(x²+x+ (Type integers or decimals rounded to three decimal places as needed.) 1990 2000 Income ($ billions) Year 411.7 2008 838.6 2014 2307.9 2018 4878.7 2024 22685.5 8429.9 Income ($ billions) 12100.8 14728.6 19129.7 a. These data can be modeled by a quadratic function. Write the equation of this function, with x equal to the number of years after 1960. b. In what year does the model predict the total personal income will reach $24.772 trillion? The unrounded model predicts the total personal income will reach $24.772 trillion in
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