(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) Use technology to find the maximum share of GDP that the developing economies can achieve, according to this model. (Round your answer to one decimal place.) The model predicts that in the year  ---Select--- 2005 2010 2017 2027 2030 , developing economies reach their maximum share,  %, of the GDP.

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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) Use technology to find the maximum share of GDP that the developing economies can achieve, according to this model. (Round your answer to one decimal place.)
The model predicts that in the year  ---Select--- 2005 2010 2017 2027 2030 , developing economies reach their maximum share,  %, of the GDP.
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