y=x^2 * k
k=constant of proportionality
OR
y/x^2 = k
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
Y = K (z/x)
y = c*x3 where c is the constant of proportionality.
pi
P = 4 x s
The equation is M = -3N.
In a linear relationship such as represented in the equation x= b+ay. The relationship between the x and y is a direct variation. This basically means that in the above equation/situation the value of the y variable is proportional to the value of the x variable. In other words the x and y increase or decrease proportionately. If the x value decreases the y value decreases. If the x value increases so does the y value. Now in a quadratic relationship it is a little different in that this kind of function is actually in the shape of a parabola. The equation for this relationship is ax2 + bx + c = y. The parabolic relationship exists when one variable depends on the square of another and this relationship is often expressed in saying that the y variable varies directly with the square of the x variable.
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
Y = K (z/x)
Find an equation of variation where y varies directly as x. One pair of values is y = 80 when x = 40
when x increases y increases.. y=kx
y = c*x3 where c is the constant of proportionality.
When two variables are directly proportional, it means that as one variable increases, the other variable also increases at a constant rate. In mathematical terms, this relationship can be expressed as y = kx, where y is one variable, x is the other variable, and k is a constant value.
pi
one quantity varies directly as the square of the other quantity. in symbols, y = kx squared
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.
There is in fact a difference. Depending Variable: Varies on the outcome of the Responding Variable. Responding Variable: Varies on the outcome of both itself and the Depending Variable. Math keeps us goin'!