Find the Equation that Relates x and y y=10 x=8

$y = 10$ $x = 8$

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.

$y = k x$

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

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

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

$k = \frac{10}{8}$

Cancel the common factor of $10$ and $8$ .

Factor $2$ out of $10$ .

$k = \frac{2 (5)}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$k = \frac{2 \cdot 5}{2 \cdot 4}$

Cancel the common factor.

$k = \frac{2 \cdot 5}{2 \cdot 4}$

Rewrite the expression.

$k = \frac{5}{4}$

Use the direct variation model to create the equation.

$y = k x$

Substitute the value of $k$ into the direct variation model.

$y = (\frac{5}{4}) x$

Simplify the result to find the direct variation equation.

$y = \frac{5 x}{4}$

Find the Equation that Relates x and y y=10 x=8

Related Questions

Support LCMGCF.com by disabling your adblocker.