Answer
$11.59$ billion pounds of cheese
Work Step by Step
We are given that the function $f(x)=.0007x^{2}+.24x+7.98$ can be used to approximate the total cheese production in the United States from 2000 to 2009, where x is the number of years after 2000 and $y=f(x)$ is pounds of cheese (in billions).
To estimate the number of pounds of cheese produced in the US in 2015, we will use $x=15$, since 2015 is 15 years after 2000.
$f(5)=.0007(15)^{2}+.24(15)+7.98=11.5905\approx11.59$ billion pounds of cheese