Let $f$ be a linear function with slope $m$.  $$ \begin{gathered} m=\frac{f(3)-f(2)}{\Delta x}=\frac{5}{3-2}=5\textbackslash\textbackslash{} f(8)-f(2)=m \Delta x=5(8-2)=30 \Rightarrow(D) \end{gathered}$$ 
Let $f$ be a linear function for which $f(3)-f(2)=5$. What is $f(8)-f(2)$? (  Adapted From 2003 AMC 12B Problems, Question \#9) 
Options:
a: $$10$$ 
b: $$25$$ 
c: $$20$$ 
d: $$30$$ 
e: $$40$$ 