---
# System prepended metadata

title: Untitled

---

\begin{align}
S=\begin{cases}
-4x+31&\text{if}&0\le x\le12
\\295&\text{if}&12\le x\le20
\\\frac{4}{3}x+278.5&\text{if}&20< x\le30
\\\frac{3}{2}x+404&\text{if}&30< x<40
\end{cases}
\end{align}
