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Fill in the blanks to make a true statement.

 

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

 
 Apr 23, 2026
 #1
avatar+377 
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The answer is 4.

 Apr 23, 2026
 #2
avatar+2707 
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I think 4 is not.  I think that would be directly proportional.     

 

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

 

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

 

                  For a colloquial visualization of the concept, consider:  When x gets larger, y gets smaller.     

 

                   Given that when x = 1, y = 2     This xy = 2 . . . and this xy will always equal 2.     

                   When x changes to 2, the product xy must still equal 2, i.e., y = 2/2, so  y = 1     

   .     

 Apr 24, 2026, 2:46:22 PM

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