Question

For the data in the table, write an equation for the direct variation.

Answer 1

The equation of direct variation is,

$\begin{gathered} y=kx \\ k=\frac{y}{x} \end{gathered}$

Substitute the values of y and x.

$\begin{gathered} k=\frac{5.4}{4} \\ k=1.35 \end{gathered}$

So, the obtained equation will be y=1.35(x).

Let's check with the values of x.

1) If x=4

$\begin{gathered} y=1.35x \\ y=1.35(4) \\ y=5.4 \end{gathered}$

2) If x=2

$\begin{gathered} y=1.35x \\ y=1.35(2) \\ y=2.7 \end{gathered}$

3) If x=-2