Question

The variable y varies directly with x. If y=22 when x=17, what is y when x=31?

Answer 1

40.12

Step-by-step explanation:

y varies directly with x

This is written as:

`y\propto x`

Introducing the constant of proportion k, we have:

y = kx

If y=22 when x=17

`\begin{gathered} 22=17k \\ k=(22)/(17) \end{gathered}`

Therefore, the equation connecting y and x is:

`y=(22)/(17)x`

When x=31

`\begin{gathered} y=(22)/(17)*31 \\ y=40.12 \end{gathered}`