Question

The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x = 3

Answer 1

Given that the variables vary inversely, then we have to use the following equation.

`y=(k)/(x)`

Where k is the constant of proportionality. So, we have to replace x = 5 and y = 2 to find k.

`\begin{gathered} 2=(k)/(5) \\ k=2\cdot5 \\ k=10 \end{gathered}`

Once we have the constant, we can find y when x = 3.

`y=(10)/(3)`

Hence, when x = 3, y = 10/3.