Find the missing entries if X and Y vary directly to each other. (Direct Variation question)
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Answer:
Inverse variations look like this:
y
=
k
x
We need to make our own inverse variation given
y
=
6
and
x
=
18
. We can plug this into the standard inverse variation with variables.
y
=
k
x
6
=
k
18
108
=
k
We've determined that
k
=
108
. Now we have what it takes to create an inverse variation. This is our final equation:
y
=
108
x
We still need to find what
y
equals when
x
is
8
. Let's plug in
8
for
x
.
y
=
108
x
y
=
108
8
y
=
13.5
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