Question

Determine whether y varies directly with x. If so find the CONSTANT of VARIATION.y = 6x

Answer 1

ANSWER

It varies directly

k = 6

EXPLANATION

We want to check if y varies directly with x.

Direct variation is represented as:

$\begin{gathered} y\text{ }\propto\text{ x} \\ \Rightarrow\text{ y = kx} \\ \text{where k = constant of variation} \end{gathered}$

Comparing this with y = 6x, we see that it is a direct variation.

So, y varies directly with x.

This means that if y increases/decreases, x also increases/decreases.

Also, we see that the constant of variation is:

k = 6