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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

4x= y

y = 10x

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

57

40

y = -5

y = 3x y = 3*19 = 57

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

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

50

2

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