Inverse Variation 1) In an inverse variation, the values of the two x and y change in an opposite manner - as one value increases, the other decreases.

The more games you play (x), the less errors you make (Y). X variable increases while y value decreases. An inverse variation between 2 variables, y and x, is a relationship that is expressed as: Y= k x x (games played)1234 y (errors per game) )

Graph for direct variation is linear, while the graph of inverse variation is not linear. Rather, it is a hyperbola:

Direct variation & Inverse variation To find K (constant) Y= k X Equation Y= K · X To find K (constant) K = XY Equation Y= K X

examples a)Y = 3 6 x (multiply both sides by 6 to isolate variable) Equation would be: y= 18 x b) x= 5 y= 9 K= x · yK = 45 Equation: y= 45 x