# How does the traffic flow model arrive at the scaled equation?

Consider the model for traffic flow with density $?(x, t)$ that satisfies
$?_t + (?V_*(1 ? ?/?_*))_x = 0$
where $V_*$ was a given maximum speed and $?_*$ a given maximum density. Show that by scaling $?$ and a combination of $x$ (space) and $t$ (time) we can arrive at the scaled equation
$u_t + (u ? u^2)_x = 0$