Find the Constant of Variation y=12 x=1/3

$y = 12$ $x = \frac{1}{3}$

Step 1

When two variable quantities have a constant ratio, their relationship is called a direct variation. It is said that one variable varies directly as the other. The formula for direct variation is $y = k x$ , where $k$ is the constant of variation.

$y = k x$

Step 2

Solve the equation for $k$ , the constant of variation.

$k = \frac{y}{x}$

Step 3

Replace the variables $x$ and $y$ with the actual values.

$k = \frac{12}{\frac{1}{3}}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$k = 12 \cdot 3$

Step 5

Multiply $12$ by $3$ .

$k = 36$

Find the Constant of Variation y=12 x=1/3

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