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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. 

 Feb 3, 2016

Best Answer 

 #1
avatar+128570 
+10

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.....

 

 

cool cool cool

 Feb 3, 2016
 #1
avatar+128570 
+10
Best Answer

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.....

 

 

cool cool cool

CPhill Feb 3, 2016

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