Answer
$474.9$ billion dollars
Work Step by Step
We are given that $f(x)=.19x^{2}+5.67x+43.7$ can be used to approximate the amount of restaurant food-and-drink sales, where x is the number of years since 1970 and f(x) is the sales (in billions of dollars).
To calculate the sales in 2005, we will use $x=35$, because 2005 is 35 years after 1970.
$f(x)=.19(35)^{2}+5.67(35)+43.7=474.9$ billion dollars