Answer
$L=55n+475$
Work Step by Step
If $L$ is a linear function of n, then
$L=mn+b.$
Given (2,585) and (5,750), we find m
$m=\displaystyle \frac{750-585}{5-2}=\frac{165}{3}=55$
So far, $L=55n+b$.
To find b, insert (n,L)=(2,585) and solve for b
$585=55(2)+b$
$585=110+b\qquad/-110$
$475=b$
Thus,
$L=55n+475$
