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The variables x and y are inversely proportional, and y=2 when x=3. What is the value of y when x=9?

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Littlestarid
x = z / y

when x = 3, y = 2

3 = z / 2
z = 6

when x = 9, z = 6 

9 = 6 / y

y = 6 / 9 = 2 / 3 Answer
If x is inversely proportional to y, then:

x=k/y.

When y=2, x=3.

3=k/2, therefore k=6.

So, x=k/y is in fact x=6/y.

When x=9:

9=6/y

9y=6

y=6/9=2/3.

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