inverse variation 1) in an inverse variation, the values of the two x and y change in an opposite...
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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) 1 2 3 4
y (errors per game) 25 20 15 10
2)
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
examplesa) 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 · y K = 45
Equation: y= 45
x
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