Direct Variation Worksheets

How to Spot Direct Variation in Data Sets We know so may quantities that increase at a constituent rate. For example, driving your car at a consistent rate or if you save money weekly, then your savings increase at a consistent rate. If we graph these consistent values, we will get a linear equation. Here we will study the direct variation. In a direct variation, two quantities, like hours and pay, or distance and tie, decrease or increase at a constituent rate. The consistent rate that increases and decreases are known as the constant of variation. One way of spotting direct variation is by data sets. In the table given below, we will study the consistent rate of your weekly savings of $50. As this is a direct variation, we assume that you start with zero saved money. (Week| Amount) Data = 0, 0 - 1, $50 - 2, $100 - 3, $150 - 4, $200 - 5, $250. We can notice two key points about this table: 1. At the start, you have $0 at week 0. Hence, it is the first entry of the table, and it will be the first entry of any direct variation table. 2. Each week you save $50, and the amount increases by $50 at the end of every week. $50 is also known as the constant of variation as it tells us how much is being saved by the end of every week.

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