The developing economies' share of the global gross domestic product (GDP) from 2003 to 2017 is shown in the following table.
Year
Share
(% of GDP)
Year
Share
(% of GDP)
2003
20
2011
35
2004
22
2012
38
2005
23
2013
39
2006
27
2014
40
2007
28
2015
41
2008
31
2016
42
2009
31
2017
43
2010
33
(a) Find the quadratic function that best models the developing economies' share of the global GDP as a function of the number of years after 2000. (Round all numerical values to four decimal places.)
y (x) = ?
(b)
The model predicts that in the year 2027, developing economies reach their maximum share, what %, of the GDP.
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