In this Section:
In this section, we learn about direct variation and direct variation as a power. In a direct variation problem we say that y varies directly with (as) x if there is a constant value k such that: y = kx. The value k is known as the constant of variation or the constant of proportionality. In algebra 1 the variation problems are typically all the same. We are given an opening scenario that allows us to find k. We are then told to find y when x is a certain value. We begin by writing the generic formula: y = kx. We substitute the given values and solve for the constant of variation k. We then rewrite the equation with the known value of k and x. Once this is done, we can solve for the unknown y. When we see direct variation as a power, we use the same technique.