Answer
$9.18$ 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 approximate the number of pounds of cheese produced in the US in 2005, we will use $x=5$, since 2005 is 5 years after 2000.
$f(5)=.0007(5)^{2}+.24(5)+7.98=9.1835\approx9.18$ billion pounds of cheese
