Question

Y varies inversely as X. y=4 when x=2. Find y when x=16

Answer 1

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Answer:

y = 1/2

Explanation:

The inverse relation means ...

y = k/x

We can find k from ...

xy = k = (2)(4) = 8

Then when x = 16, we have ...

y = 8/x = 8/16 = 1/2

y is 1/2 when x = 16.

Answer 2

y = 32 (Verified Answer) ✅

Explanation:

We will use a proportion to solve this.

`(2)/(4) = (16)/(y)`

Now, we cross multiply.

2y = 16 x 4

2y = 64

Now, we must divide by 2 to get the correct value for y

y = 64/2

y = 32

Now, we can use the same proportion to check our answer.

2(32) = 16 x 4

64 = 64 ✅