Answer
$N=0.247~milligrams~of~food$
Work Step by Step
Find the horizontal asymptote.
$y=\frac{1.568x-0.001}{6.360x+1}$
The denominator and numerator have the same degree. The horizontal asymptote is the ratio of the leading coefficients:
$N=\frac{1.568}{6.360}=0.247$