The table shows data from 1975 and projections to 2050 of the number of millions of people age 15 to 59 in a country. Complete parts (a) and (b) below. Year Labor Pool Labor Pool Labor Pool e Year Year (millions) 480 (millions) (millions) 1975 2005 865 2035 840 1980 560 2010 900 2040 820 1985 640 2015 920 2045 800 1990 730 2020 920 2050 670 1995 750 2025 915 2000 800 2030 885 a. What is the quadratic function that best models this population as a function of the number of years after 1970? Let x represent the number of years after 1970 and y represent the number of millions of people in this labor pool. y= (-0.225 )x + ( 22.295)x + ( 360.420") (Type integers or decimals rounded to three decimal places as needed.) b. Use technology with the model to find the maximum size of this population before it begins to shrink. The maximum size of the labor pool population is approximately 912 million. (Round to the nearest whole number as needed.) It will occur in the year 2020

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Labor Pool
(millions)
Labor Pool
Year
(millions)
Labor Pool O
(millions)
The table shows data from 1975 and projections to 2050 of the number of millions of people age 15 to 59 in a country. Complete parts (a) and (b) below.
Year
Year
1975
480
2005
865
2035
840
1980
560
2010
900
2040
820
1985
640
2015
920
2045
800
1990
730
2020
920
2050
670
1995
750
2025
915
2000
800
2030
885
......
a. What is the quadratic function that best models this population as a function of the number of years after 1970? Let x represent the number of years after 1970 and y represent the number of millions of people in this labor pool.
y = ( -0.225 )x + ( 22.295 )x + ( 360.420)
(Type integers or decimals rounded to three decimal places as needed.)
b. Use technology with the model to find the maximum size of this population before it begins to shrink.
The maximum size of the labor pool population is approximately 912 million.
(Round to the nearest whole number as needed.)
It will occur in the year 2020
Transcribed Image Text:Labor Pool (millions) Labor Pool Year (millions) Labor Pool O (millions) The table shows data from 1975 and projections to 2050 of the number of millions of people age 15 to 59 in a country. Complete parts (a) and (b) below. Year Year 1975 480 2005 865 2035 840 1980 560 2010 900 2040 820 1985 640 2015 920 2045 800 1990 730 2020 920 2050 670 1995 750 2025 915 2000 800 2030 885 ...... a. What is the quadratic function that best models this population as a function of the number of years after 1970? Let x represent the number of years after 1970 and y represent the number of millions of people in this labor pool. y = ( -0.225 )x + ( 22.295 )x + ( 360.420) (Type integers or decimals rounded to three decimal places as needed.) b. Use technology with the model to find the maximum size of this population before it begins to shrink. The maximum size of the labor pool population is approximately 912 million. (Round to the nearest whole number as needed.) It will occur in the year 2020
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