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kykrilka [37]
3 years ago
8

If y varies inversely as x, and y = 4 as x = 8, find y for the x-value of 2.

Mathematics
2 answers:
alexira [117]3 years ago
8 0

y = k/x

We want to find k first.

4 = k/8

4(8) = (k/8)(8)

32 = k

We now need to find y knowing that k = 32 and x = 2.

y = k/x

y = 32/2

y = 16

Did you follow?

cricket20 [7]3 years ago
6 0

Answer:

16

Step-by-step explanation:

Inverse variation follows this equation:

y = k/x

We know one point, so we input x and y, and solve for k.

4 = k/8

k = 32

The inverse variation equation is

y = 32/x

Now we let x = 2, and use our equation to find y.

y = 32/2

y = 16

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