Question

17.If y varies inversely as x and x=5 when y=20, then what is the constant ofvariation, k?A10064121CBD

Answer 1

Given

If y varies inversely as x and x=5 when y=20.

To find: The constant of variation k.

Step-by-step explanation:

It is given that, y varies inversely as x.

That implies,

`y=(k)/(x)`

Then for x=5 and y=20.

`\begin{gathered} 20=(k)/(5) \\ \Rightarrow k=20*5 \\ \Rightarrow k=100 \end{gathered}`

Hence, the constant of variation k is 100.