Find the Constant of Variation y=50 x=4

$y = 50$ $x = 4$

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.

$k = \frac{50}{4}$

Step 4

Cancel the common factor of $50$ and $4$ .

Factor $2$ out of $50$ .

$k = \frac{2 (25)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$k = \frac{2 \cdot 25}{2 \cdot 2}$

Cancel the common factor.

$k = \frac{2 \cdot 25}{2 \cdot 2}$

Rewrite the expression.

$k = \frac{25}{2}$

Find the Constant of Variation y=50 x=4

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