Variation & Problem Solving
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
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If y varies directly as x, find the constant of variation and direct variation equation: y is 5 and x is 30 = | y = kx,Substitute y and x in the equation,
5 = k.30; k = 5/30 ; k = 1/6. Substitute k in the direct variation equation = y = 1/6x.
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Direct Variation : y = 6 when x is 4 = | y = kx,Substitute y and x in the equation,
6 = k.4; k = 6/4 ; k = 3/2. Substitute k in the direct variation equation = y = 3/2x.
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Direct Variation: y = 0.2 when x is 0.8 = | y = kx,Substitute y and x in the equation,
0.2 = k.0.8; k = 0.2/0.8 ; k = 0.25. Substitute k in the direct variation equation = y = 0.25x
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When y varies inversely as x or y is inversely proportional to x, find the constant of variation and inverse variation equation: y = 6 when x = 5 = | y = k/x,Substitute y and x in the equation,
6 = k/5; k = ; k = 30. Substitute k in the inverse variation equation = y = 30/x.
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Inverse Variation: y = 0.2 when x = 0.7 = | y = k/x,Substitute y and x in the equation,
0.2 = k/0.7; k = ; k = 0.14. Substitute k in the inverse variation equation = y = 0.14/x.
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Inverse Variation: y = 1/8 when x = 16 | y = k/x,Substitute y and x in the equation,
1/8 = k/16; k = ; k = 2. Substitute k in the inverse variation equation = y = 2/x.
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y varies directly as square of x. If y is 24 when x is 2 find the constant of variation and variation equation? | y = kx^2
24 = k. 2^2
24 = 4k
k = 6
Constant of variation is 6 and
Variation Equation is y = 6x^2
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Created by:
Sushma
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