Ratio and Proportion – Direct Variation

Direct Variation

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Students learn that direct variation is a relationship between two variables in which the variables have a constant ratio, k, where k is not equal to zero. k is called the constant of variation, and if the variables are x and y, the following formulas can be used to represent direct variation: y/x = k or y = kx. Students also learn that the following formula can be used to represent direct variation between two ordered pairs: y1/x1 = y2/x2. Finally, students learn to identify whether or not a set of points represents direct variation given a table or a graph.
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