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Inverse Variation SACHS
Contributed by: Shanahan
Sub in the
given values:
y varies inversely with x
y = 36 when x = 3
y =
=
k
k
x
y varies inversely with x
y = 36 when x = 3
×
36 =
=
k
3
k
Opposite operation
of ÷3
Sub in thek = 108:
y varies inversely with x
y = 36 when x = 3
y
y =
=
x
k
x
Sub in x = 9
    and solve:
Find y when x = 9
y =
y =
108
108
x
=
Sub in y = 27    and solve:
Find x when y = 27
y =
=
108
108
x
x
Find x when y = 27
× x
27
y =
=
= 108
108
108
x
x
Opposite operation
of ÷x
Opposite operationto solve for x
Find x when y = 27
27x = 108
× x
27
x =
y =
=
108
108
108
x
x
=
Sub in the
given values:
y varies inversely with x
y = 7 when x = 4
y =
=
k
k
x
y varies inversely with x
y = 7 when x = 4
×
7 =
=
k
4
k
Opposite operation
Sub in thevalue of k:
y varies inversely with x
y = 7 when x = 4
y
y =
=
x
k
x
Sub in x = 0.5    and solve:
Find y when x = 0.5
y =
y =
28
28
x
=
Sub in y = 2    and solve:
Find x when y = 2
y =
=
108
28
x
x
Find x when y = 2
× x
2
y =
=
= 108
28
28
x
x
Opposite operation
of ÷x
Opposite operationto solve for x
Find x when y = 2
2x = 28
× x
2
x =
y =
=
28
28
28
x
x
=
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