Variation

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Slide 1: 

3.7 Modeling Using Variation - comparison of two quantities Direct Variation: As one quantity increases, the other also increases "y varies directly as x" y = kx Inverse Variation: As one quantity increases, the other decreases "y varies inversely as x" y = k/x Joint Variation: A comparison of three or more quantities "y varies jointly with x and z" y = kxz

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Y = kn4 Y = k/x5 Y = k/x F = k/r2 H = kc2 P=k/r3 T = kn/d Y = kxz2

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Y = kx 8 = k(-3) 8/-3 = k Y = -8/3(16) Y = -128/3 Y = k/x3 5 = k/23 5 = k/8 40 = k Y = 40/63 Y = 5/27 w=kx2/y 50 = k(52)/2 50 = k(25)/2 100 = 25k K = 4 w = 4(10)2/25 w = 16

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Z = kx2y3 1000 = k(5)2(2)3 1000 = 200k 5 = k Z = 5(2)2(4)3 Z = 1280 R = k/c2 1 = k/152 1 = k/225 225 = k R = 225/(20)2 R = 0.5625 S = kr2 36pi = k(3)2 4pi = k S = 4pi(12)2 S = 576pi

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