Find the Equation of Variation y=1.5 , x=5 , z=7

When three variable quantities have a constant ratio, their relationship is called a direct variation. It is said that one variable varies directly as the other two vary. The formula for direct variation is ${\displaystyle y=kx{z}^2}$, where ${\displaystyle k}$ is the constant of variation.

Solve the equation for ${\displaystyle k}$, the constant of variation.

Replace the variables ${\displaystyle x}$, ${\displaystyle y}$, and ${\displaystyle z}$ with the actual values.

Raise ${\displaystyle 7}$ to the power of ${\displaystyle 2}$.

Multiply ${\displaystyle 5}$ by ${\displaystyle 49}$.

Divide ${\displaystyle 1.5}$ by ${\displaystyle 245}$.