Answer
$x=500.25$
Work Step by Step
The demand for video game is modeled by
$p=40-\sqrt{0.01x+1}$, where $x$ is the number of units demanded per day and $p$ is the price per unit.
Given $p=37.55$, $x$ is..
$37.55=40-\sqrt {0.01x+1}$
$\sqrt {0.01x+1}=2.45$
Squaring both sides of the equation..
$0.01x+1=6.0025$
$0.01x=5.0025$
$x=500.25$
