Question

Y varies directly as 2. If x = -6 then y = 4. Find y when = 14. Y I Submit Question

Answer 1

Since y varies directly as x, then we set the equation:

`y=k\cdot x`

Substituting x= -6, y=4, and solving for k we get:

`\begin{gathered} 4=k\cdot(-6) \\ k=-(4)/(6)=-(2)/(3) \end{gathered}`

Then, taken x=14 we get:

`\begin{gathered} y=-(2)/(3)\cdot(14_{}) \\ y=-(28)/(3) \end{gathered}`