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3-8 Direct, Inverse, Joint Variation
ESSENTIAL QUESTION- How do you write an equation with a direct, inverse or joint variation? How do you solve problems with direct, inverse or joint variation?
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Direct Variation y = kxn, n>0 k is the constant of variation
As one value incrases, the other value also increases at a constant rate. Examples: The relationship between hours worked and wages (money) earned. As you work more hours, the more wages you earn, increasing at a constant rate. The relationship between braking distance and car speed. As the speed of the car increases, the braking distance also increases at a constant rate
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Lesson Overview 3-8A
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Inverse Variation (Inversely proportional)
As one value increases the other decreases. When you travel to a higher elevation above Earth’s surface, the air temperature decreases.
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Lesson Overview 3-8B
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Joint Variation – when one quantity varies directly as the product of two or more other quantities.
y = kxnzn where x and z cannot = 0 and n > 0
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Lesson Overview 3-8C
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