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If two variable, X and Y are in direct variation, then the proportion of X/Y or Y/X has a constant value.
A direct variation between two variables, X and Y, may be expressed in the form Y = c*X where c is some known, constant. This is a mapping from the set of values of X to the set of values of Y such that for each value of X there is only one value of Y - which is c*X. Such a relationship is a function.
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
1
No, this is an 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.
If two variable, X and Y are in direct variation, then the proportion of X/Y or Y/X has a constant value.
A direct variation between two variables, X and Y, may be expressed in the form Y = c*X where c is some known, constant. This is a mapping from the set of values of X to the set of values of Y such that for each value of X there is only one value of Y - which is c*X. Such a relationship is a function.
If a variable X is in inverse variation with a variable Y, then it is in direct variation with the variable (1/Y).
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
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.
1
No, this is an 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 .
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 .
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.
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