The point (12, 9) is included in a direct variation. What is the constant of variation
To find the constant of variation, we need to use the formula for direct variation, which is y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of variation.
We are given the point (12, 9), where x = 12 and y = 9. Plugging these values into the equation, we get:
9 = k * 12
To solve for k, we divide both sides of the equation by 12:
k = 9 / 12
Simplifying the right side of the equation, we get:
k = 3 / 4
Therefore, the constant of variation is 3/4.