Finite Math Examples

$25 x + 100 y + 175 z + 200 w = 2600$ , $40 x + 120 y + 200 z + 240 w = 3040$ , $40 x + 110 y + 190 z + 210 w = 2840$

Step 1

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 $y = k x z^{2}$ , where $k$ is the constant of variation.

$y = k x z^{2}$

Step 2

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

$k = \frac{y}{x z^{2}}$