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   The variables x and y are inversely proportional.  If x = 1, then y = 2.  And if x = 2, then y = ___.     

 

   When two variables are inversely proportional, their product is always equal to a constant.     

 

   Given that when x = 1, then y = 2     

   In this problem, xy = 2 . . . and xy in this proportion must always equal 2.     

   When x changes to 2, then xy must still equal 2 ( y = 2 / x ) and so  y = 1     

   _.     

Inversely proportional means that 

y = k/x        when x = 1 and y = 2  this becomes 

2 = k/1      which shows k = 2 

 

so the relationship is then    y = 2/x 

     then when x = 2     

              y =  2/2

              y =1