Question

If y varies directly as x and y=14 when x= 3.5 what is the constant of variation

Answer 1

Hey there! Direct variation, a concept commonly applied to linear equations.

The constant of variation is a concept which simply refers to the change in y, based on the change in x. If this change is constant, then it is a constant of variation.

You can find the constant of variation (usually referred to as 'k') by dividing any point's y-value by its x-value.

In this instance, we have the point (3.5, 14)

14 / 3.5 = 4

The constant of variation for this equation would be 4.