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What is an equation that shows that one variable varies directly with the square of the other variable?
Wiki User
∙ 16y ago
y=x^2 * k
k=constant of proportionality
OR
y/x^2 = k
Wiki User
∙ 16y ago
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How would you go about solving this direct variation question and what is the answer- If P varies directly as the square of Q and the constant of variation is 6 what is the value of P when Q equals 12?
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
What is the equation when Y varies directly as z and inversely as x?
Y = K (z/x)
What is the equation for y varies directly as the cube of x?
y = c*x3 where c is the constant of proportionality.
The area of a circle varies directly as the square of the length of its diameter What is the constant of variation?
pi
Find an equation of variation where y varies directly as x and y equals 28 when x equals 7?
4x= y
M varies directly as N. If M-6N2What is the answer or give the equation?
The equation is M = -3N.
What is a mathematical relationship?
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.
How would you go about solving this direct variation question and what is the answer- If P varies directly as the square of Q and the constant of variation is 6 what is the value of P when Q equals 12?
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
What is the equation when Y varies directly as z and inversely as x?
Y = K (z/x)
Find an equation of variation where y varies directly as x One pair of values is y equals 80 when x equals 40?
Find an equation of variation where y varies directly as x. One pair of values is y = 80 when x = 40
What is the equation for y varies directly as the cube of x?
y = c*x3 where c is the constant of proportionality.
How would you describe varies directly and show it in an equation?
when x increases y increases.. y=kx
The area of a circle varies directly as the square of the length of its diameter What is the constant of variation?
pi
What is a direct square variation?
one quantity varies directly as the square of the other quantity. in symbols, y = kx squared
What does x equals 2n mean?
It means that the variable x is twice as much as variable n. x is in direct proportion to n (or x varies directly as n) with the constant of proportionality = 2.
Is 2x plus 3y equals 0 a direct variation?
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.
The perimeter p of a square varies directly as the length of the side s?
P = 4 x s
