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Level 271

Inverse Variation


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Inverse variation equation
y = k/x where k is a nonzero constant and x does not equal 0
Inverse variation is when
the value of one variable (x or y) increases, while the value of the other variable decreases.
indirect variation
Inverse variation is also known as
k
constant of variation
equals k
the product of the variable
xy
= k
1/x
y =
5 = k / 3, k = 15
If x varies inversely as y when x = 3 and y = 5
12 = k / 4, k = 48
If x varies inversely as y when x = 4 and y = 12
Direct variation looks like
a line going through the origin (0,0)
Direct variation equation
y = k x