Answer
a) 9,076 thousand barrels per day
b) 2007
c) 2012
Work Step by Step
a)
$y=-10x^2+193x+8464$
$2004-2000=4$
$y=-10x^2+193x+8464$
$y=-10*4^2+193*4+8464$
$y=-10*16+772+8464$
$y=-160+9236$
$y=9076$
b)
$y=-10x^2+193x+8464$
$9325=-10x^2+193x+8464$
$0=-10x^2+193x-861$
$x=(-b±\sqrt {b^2-4ac})/2a$
$x=(-193±\sqrt {193^2-4*(-10)*(-861)}/2*-10$
$x=(-193±\sqrt {37249-40*861}/-20$
$x=(-193±\sqrt {37249-34440}/-20$
$x=(-193±\sqrt {2809}/-20$
$x=(-193±53)/-20$
$x=(-193±53)/-20$
$x=(-193+53)/-20$
$x=-140/-20$
$x=7$
$x=(-193±53)/-20$
$x=(-193-53)/-20$
$x=-246/-20$
$x=12.3$
$7+2000=2007$
$12.3+2000=2012$
