Find the Constant of Variation y=14 x=8

$y = 14$ $x = 8$

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.

$k = \frac{14}{8}$

Step 4

Cancel the common factor of $14$ and $8$ .

Factor $2$ out of $14$ .

$k = \frac{2 (7)}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$k = \frac{2 \cdot 7}{2 \cdot 4}$

Cancel the common factor.

$k = \frac{2 \cdot 7}{2 \cdot 4}$

Rewrite the expression.

$k = \frac{7}{4}$

Find the Constant of Variation y=14 x=8

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