Question

The values of x and y vary directly and one pair of values are given. Write an equation that relates x and y.

Answer 1

Direct Variation

`\begin{gathered} y\alpha x \\ y=kx \end{gathered}`

k is called the constant of proportionality

Let us plug in the initial conditions given so that we will be able to obtain a value for k

`\begin{gathered} y=kx \\ 0.5=k*1 \\ k=0.5 \end{gathered}`

Then we have

`y=0.5x`