If x varies inversely to y and y and x = 3, when y = 12. Find the value of y when x = 6?
- y = 6
- y = 3
- y = 9
- None of these
Explanation
Given x varies inversely to y:
x ∝ 1/y
x = k/y
When x = 3, y = 12:
3 = k/12
k = 36
So, the equation becomes:
x = 36/y
When x = 6:
6 = 36/y
y = 36/6
y = 6
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