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Is direct variation a function?
A direct variation is a situation in which two quantities -- such as hours and pay, or distance and time -- increase or decrease at the same rate. The ratio between the quantities is constant; that is, as one quantity doubles, the other quantity also doubles. so yes it is. -add on- A direct variation is in the form y=ax where a is an constant.
How do you know that a direct variation is linear?
If the functional relationship is of the form y = cx where c is the constant of variation. In graphical form, it is a straight line through the origin.
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.
Is -3x -35y equals 14 a direct variation?
no. direct variation implies that you can simplify the problem into several forma which are equivalent to y/x = k in which k is called the constant of variation. one of these equivalent forms would by y = kx + 0 (slope intercept form) in which the y intercept must be 0 rearranging your equation gives a y- intecept of -14/35 which reduces to -2/5 since this is not zero. this is not direct variation.
A type of variation in the form y equals kx?
Y varies in direct proportion to x.
