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Direct variation is the idea that if one variable increases in value, the other will increase in value. Conversely, if one variable decreases in value, the other will decrease in value. So let's say we have a variable y and it directly varies with x. This would imply that y = x. However, it's not this exactly, but it's close. It's actually y = k*x where k is some fixed number.
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When two variable quantities have a constant (unchanged) ratio, their relationship is called a direct variation. It is said that one variable "varies directly" as the other. The constant ratio is called the constant of variation. The formula for direct variation is y = kx, where k is the constant of variation. "y varies directly as x" Solving for k: (y = numerator; x = denominator) In a direct variation, the two variables change in the same sense. If one increases, so does the other. Graphically, direct variation y = kx when k > 0. As x increases, y increases. For example: The weekly salary a woman earns, S, varies directly as the number of hours, h, which she works. Express this relation as a formula. Answer: S = hk or (where k is the constant)