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57
direct variation: y = kx y = kx k = y/x = 0.8/0.4 = 2
y=k*x 535=k*140 k=535/140=107/28 y=(107/28)*x
What is y? Fx varies with x, but y could be anything.
Direct variation refers to two variable quantities have a constant (unchanged) ratio, in which a variable "varies directly with the other."In order to have a direct variation, the constant of variation must be not equal to 0 in the equation y=kx, where k is the constant.When you try to put 2x+3y=0 into that formula (y= form), you get:2x+3y=03y=-2x ;Subtract the 2xy=(-2/3)x ;Divide by 3Your constant of variation is -2/3, and since it is less than 0, it is does variate directly. Therefore, y varies directly as x.
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
y = 8
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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