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If y varies directly to x, then y = kx, where k is called the constant of variation. When x = -2 and y = 5, we have:
y = kx
5 = -2k
k = -5/2
Thus, y = -(5/2)x.
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Does y plus 2 equals x show direct variation?
No, y+2=x does not show direct variation. In direction variation you need to be able to multiply y by something to get x. In the question y+2=x, you have to add 2 to y to get x, which is not multiplying.)
Is the problem y equals 3x a direct variation if so what is the constant of variation?
y=3x is a direct variation in that y varies directly with x by a factor of 3. Any linear equation (a polynomial of degree 1, which is a polynomial equation with a highest exponent of 1), is a direct variation of y to x by some constant, and this constant is simply the coefficient of the "x" term. Other examples: y=(1/2)x is a direct variation, and the constant of variation is 1/2 y=-9x is a direct variation, and the constant of variation is -9
Is y equals 24 divided by x a direct variation?
No, this is an inverse variation.
What is the constant of variation in the direct variation x-y equals 0?
1
How are direct variation and joint variation related?
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.
Does y plus 2 equals x show direct variation?
No, y+2=x does not show direct variation. In direction variation you need to be able to multiply y by something to get x. In the question y+2=x, you have to add 2 to y to get x, which is not multiplying.)
Is the problem y equals 3x a direct variation if so what is the constant of variation?
y=3x is a direct variation in that y varies directly with x by a factor of 3. Any linear equation (a polynomial of degree 1, which is a polynomial equation with a highest exponent of 1), is a direct variation of y to x by some constant, and this constant is simply the coefficient of the "x" term. Other examples: y=(1/2)x is a direct variation, and the constant of variation is 1/2 y=-9x is a direct variation, and the constant of variation is -9
How do you know if the equation is a direct variation?
When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. y=2x is direct variation y=x+2 is not direct variation
How do you do a direct variation with an inverse variation problem?
If a variable X is in inverse variation with a variable Y, then it is in direct variation with the variable (1/Y).
How do you find if a table is direct variation or inverse variation?
Suppose the two variables are denoted by X and Y. If Y is a constant multiple of X, that is Y = c*X, then the variation is direct. If the value of X*Y is a constant, that is Y = c/X, then the variation in inverse.
What is directly variation?
A variable y is said to be in direct variation with a variable x if there is a constant c (>0) such that y = c*x. c is called the constant of direct variation or proportionality.
Is y equals 24 divided by x a direct variation?
No, this is an inverse variation.
What is the constant of variation in the direct variation x-y equals 0?
1
What is the difference direct variation and inverse variation?
Direct variation is the ratio of two variable is constant. Inverse variation is when the product of two variable is constant. For example, direct variation is y = kx and indirect variation would be y = k/x .
What is the difference between direct variation and inverse variation?
Direct variation is the ratio of two variable is constant. Inverse variation is when the product of two variable is constant. For example, direct variation is y = kx and indirect variation would be y = k/x .
How are direct variation and joint variation related?
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.
Can you have a negative coefficient in a direct variation?
Yes, you can have a negative coefficient in a direct variation. So if you had y = -7x, that would be a direct variation. If you have y = -x, I do not know, if that is what you mean. Hope it helped.
