It is 15.
The equation ( y = 4x + 1 ) is not a direct variation. In a direct variation, the relationship can be expressed in the form ( y = kx ), where ( k ) is a constant and there is no constant term added or subtracted. Since this equation includes the constant term ( +1 ), it does not meet the criteria for direct variation.
To find the constant of variation for the equation ( 6y = 9x^2 ), we can rewrite it in the form ( y = kx^2 ), where ( k ) is the constant of variation. Dividing both sides by 6 gives ( y = \frac{9}{6}x^2 ), which simplifies to ( y = \frac{3}{2}x^2 ). Therefore, the constant of variation ( k ) is ( \frac{3}{2} ).
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
Tell whether the equation -4x+ 2y = -2 represents a direct variation. If so, identify the constant of variation.
For a direct variation equation the constant MUST be 0. Then the ratio of a pair of values of the two variables is the slope.
an equation of the form y = kx k is the constant of variation
The equation is xy = k where k is the constant of variation. It can also be expressed y = k over x where k is the constant of variation.
The equation is xy = 22.5
The equation ( y = 4x + 1 ) is not a direct variation. In a direct variation, the relationship can be expressed in the form ( y = kx ), where ( k ) is a constant and there is no constant term added or subtracted. Since this equation includes the constant term ( +1 ), it does not meet the criteria for direct 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
Tell whether the equation -4x+ 2y = -2 represents a direct variation. If so, identify the constant of variation.
For a direct variation equation the constant MUST be 0. Then the ratio of a pair of values of the two variables is the slope.
No, it is a linear equation which does not pass through the origin unless B = 0. If B = 0 then Y and X could be said to vary in direct proportion and M would be the constant of variation, not the whole equation.
variation
To find the constant of variation ( k ) for an inverse variation, use the formula ( y = \frac{k}{x} ), where ( y ) and ( x ) are known values. Rearranging gives ( k = y \cdot x ). Once you have ( k ), you can write the equation for the inverse variation as ( y = \frac{k}{x} ). For example, if ( k = 12 ), the equation would be ( y = \frac{12}{x} ).
y = kx, where k is a constant, and x and y are the two variables.
xY = 6.