Given
If y varies inversely as x and x=5 when y=20.
To find: The constant of variation k.
Explanation:
It is given that, y varies inversely as x.
That implies,
[tex]y=\frac{k}{x}[/tex]Then for x=5 and y=20.
[tex]\begin{gathered} 20=\frac{k}{5} \\ \Rightarrow k=20\times5 \\ \Rightarrow k=100 \end{gathered}[/tex]Hence, the constant of variation k is 100.
