Answer
9,076,000 barrels
Work Step by Step
We know that the number of barrels is modeled by:
$y=-10x^2+193x+8464$
Where x is in years and y is in thousands of barrels per day. To find the value in 2004, we plug in 4:
$y=-10(4)^2+193(4)+8464$
$y=9,076,000 barrels $
(We multiplied by 1000 since the answer is in thousands).