if a varies inversely as b , when a = 6 , b = 20, then constant of variation k = _______ *
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Step-by-step explanation:
This is an example of inverse proportion, or inverse variation.
To change a proportion into an equation, multiply by a constant and then use the values given to find the value of the constant.
a
∝
1
b
⇒
a
=
k
b
⇒
k
=
a
b
Find the value of k, using the a and b given.
k
=
3
×
4
=
12
So,
a
=
12
b
can also be written as
b
=
12
a
When
a
=
48
,
b
=
12
48
=
1
4
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