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

User Ernix
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1 Answer

11 votes
11 votes

ANSWER

It varies directly

k = 6

Step-by-step 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

User Vishal Suthar
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