suppose y varies directly as x. if the value of x is doubled, then the value of y is also always, sometimes, or never doubled. explain your reasoning.
The equation for direct variation is :
y = kx where k is a constant ......dividing both sides by x, we have
y/x = k so....let x double and we have
y/ [2x] = k but......k is assumed to be a constant and this "k" is 1/2 of our original "k" !!!
Thus......if x doubles, y must double as well to keep k constant.....
The equation for direct variation is :
y = kx where k is a constant ......dividing both sides by x, we have
y/x = k so....let x double and we have
y/ [2x] = k but......k is assumed to be a constant and this "k" is 1/2 of our original "k" !!!
Thus......if x doubles, y must double as well to keep k constant.....