Answer
$60\%$.
Work Step by Step
The given function is
$\Rightarrow f(x)=\frac{250x}{100-x}$... (1)
Plug $f(x)=375$ in (1) and solve for $x$.
$\Rightarrow 375=\frac{250x}{100-x}$
Multiply both sides by $(100-x)$.
$\Rightarrow 375\cdot (100-x)=\frac{250x}{100-x}\cdot (100-x)$
Use the distributive property on the left and cancel common factors on the right.
$\Rightarrow 37500-375x=250x$
Add $375x$ to both sides.
$\Rightarrow 37500-375x+375x=250x+375x$
Simplify.
$\Rightarrow 37500=625x$
Divide both sides by $625$.
$\Rightarrow \frac{37500}{625}=\frac{625x}{625}$
Simplify.
$\Rightarrow 60=x$
Hence, $60\%$ of the pollutants can be removed.
