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2. 2 direct variation homework

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Learn how in 5 minutes with a tutorial resource. Try it Now. Also included in: Direct Variation Bundle. Also included in: Direct and Inverse Variation Bundle.
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direct and inverse variation worksheet

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Lesson 2: Direct Variation | Algebra, Functions algebra, Multi step equations worksheets

If an object is hung on a spring, the elongation of the spring varies directly as the mass of the object. A 20 kg object increases the length of a spring by exactly 7. To the nearest tenth of a centimeter, by how much does a 32 kg object increase the length of the same spring? Let be the mass of the weight and the elongation of the spring.
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Direct Variation Worksheets

I really don't get direct variation and I took a test on it and bombed it but now I can correct it so if anyone can just explain it to me I'd be really grateful. That equation represents the set of lines through the origin with positive slope. When x assumes increasing positive values y has decreasing positive values. We could point out for instance that a line with a negative slope has variables that are inversely related, but for the most part we're only concerned with positive values, not negative ones. The importance of the concept and the reason for looking at only positive values is connected to the study of scientific formulas this is a general statement too.
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When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. In simpler terms, that means if A is always twice as much as B, then they directly vary. In this example the total cost of milk and the number of gallons purchased are subject to direct variation -- the ratio of the cost to the number of gallons is always 3.
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