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y = 8

Q: Find an equation of variation where y varies directly as x and y equals 10 when x equals 5 find y when x is 4?

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Find an equation of variation where y varies directly as x. One pair of values is y = 80 when x = 40

40

y = -5

y = kx: 10 = 37k so k = 10/37 and y = 10x/37

If P varies directly with q, r and s then P = kqrs, where k is a constant. As 70 = k x 7 x 5 x 4 = 140k : k = 70/140 = 1/2 The equation of joint variation is P = ½qrs.

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Find an equation of variation where y varies directly as x. One pair of values is y = 80 when x = 40

4x= y

y = 10x

a varies directly as b and a = 12 when b = 4. What is the constant of variation?

40

57

y = -5

direct variation: y = kx y = kx k = y/x = 0.8/0.4 = 2

y = 3x y = 3*19 = 57

y = kx: 10 = 37k so k = 10/37 and y = 10x/37

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