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Q: A varies directly as b and a equals 12 when b equals 4 What is the constant of variation?

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pi

If y varies directly as x then k = 2.

If P varies directly with the square of Q then the equation would be in the form of P = kQ2, where k is the constant of variation so the new equation would be: P = 6Q2, so when Q = 12 we have P=6*122, or P = 864

4x= y

y = 10x

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What is y? Fx varies with x, but y could be anything.

pi

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

If y varies directly as x then k = 2.

If P varies directly with the square of Q then the equation would be in the form of P = kQ2, where k is the constant of variation so the new equation would be: P = 6Q2, so when Q = 12 we have P=6*122, or P = 864

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.

Both are variations of certain kinds of equations. X=kY is a direct variation since X varies directly as Y and k is the constant of variation. X=k/Y is an inverse variation where X varies inversly as Y and k is the constant of variation. Both of these variations are also functions.

4x= y

y = 10x

Y=kx+m Y=-5x+m K=-5

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

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