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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
The perimeter p of a square varies directly as the length of the side s?
P = 4 x s
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
What does it mean to say that two varies are directly proportional?
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.
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.
