Answer
$y=\frac{3}{2}$
Work Step by Step
$y$ varies inversely as $x$ therefore $y=\frac{k}{x}$
$y=10$ when $x=3$. Substitute these values into $y=\frac{k}{x}$ to obtain:
$y=\frac{k}{x}
\\10=\frac{k}{3}
\\10(3)=\frac{k}{3}(3)
\\30=k$
Thus, the equation for $y$ is $y=\frac{30}{x}$.
To find the value of $y$ when $x=20$, substitute 20 to x in the equation above to obtain:
$\require{cancel}
\\y=\frac{30}{x}
\\y=\frac{30}{20}
\\y=\frac{3}{2}$
