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Tell whether the table represents inverse variation. If so, write the inverse.......

If so, write the inverse variation equation and solve for y when x=40. tell how work supports conclusion 
 
 Travel time (x)     Speed (y)
       36              |         50            |
 
       50              |         36            |
 
       60              |           30          |
 
       75              |         24            |
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1 Answer

In inverse variation y = k/x where k is a constant.  Multiplying both sides by x, we get y*x = k.  In other words, the product of x*y is always the same.  Let's try a few points from your table:
 
  x    y      x*y
36   50   1800
 
50   36     ?
 
60   30     ?
 
75   24     ?
 
Complete the final three multiplications.  If they all equal 1800, it is inverse variation; otherwise it isn't.