if x varies inversely as y then xy is a constant (k)
eg if x doubles as y halves then examples are:
x = 6, y = any then k = 6y
when x = 12, y = any/2 then k = 12/2 times any ie 6y.
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The equation is xy = 22.5
The equation is xy = k where k is the constant of variation. It can also be expressed y = k over x where k is the constant of variation.
Two variables, x and y are in inverse variation if x*y = c for some constant c. The equation can be written in the form y = c/x.
If y varies with x, then there cannot be an inverse variation between x and y!
The inverse variation is the indirect relationship between two variables. The form of the inverse variation is xy = k where k is any real constant.