Answer
a) 474.9 billion dollars
b) 574.5 billion dollars
c) 683.6 billion dollars
d) Food and drink sales are increasing at a steady rate. The average annual increase between 2005 and 2010 was approximately 20 billion dollars, and the average annual increase between 2010 and 2015 was approximately 21.8 billion dollars.
Work Step by Step
$f(x)=.19x^2+5.67x+43.7$
a)
$2005-1970=35$
$f(x)=.19x^2+5.67x+43.7$
$f(35)=.19*35^2+5.67*35+43.7$
$f(35)=.19*1225+198.45+43.7$
$f(35)=232.75+242.15$
$f(35)=474.9$
b)
$2010-1970=40$
$f(x)=.19x^2+5.67x+43.7$
$f(40)=.19*40^2+5.67*40+43.7$
$f(40)=.19*1600+226.8+43.7$
$f(40)=304+226.8+43.7$
$f(40)=574.5$
c)
$2015-1970=45$
$f(x)=.19x^2+5.67x+43.7$
$f(45)=.19*45^2+5.67*45+43.7$
$f(45)=.19*2025+255.15+43.7$
$f(45)=384.75+298.85$
$f(45)=683.6$
