If x varies inversely as y and x = 2 when y = 6, then what is the value of y when x = 3?

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Accepted Answer

Since x varies inversely as y, we have x * y = k (where k is a constant).

Given: x = 2 when y = 6.  
So, 2 * 6 = 12 ⇒ k = 12.  
Now, when x = 3, let y = y1.  
So, 3 * y1 = 12 ⇒ y1 = 12 / 3 = 4.

However, let's double-check the calculation:
Given: x = 2, y = 6 ⇒ k = 2 * 6 = 12.  
When x = 3, 3 * y = 12 ⇒ y = 12 / 3 = 4.

So the correct answer is 4. The correct option is option 3.

Final correction:
Option 3 (4) is correct.

Answer

Answer

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