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Question
If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is ______.
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Solution
If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is 8.
Explanation:
x varies inversely as y.
In inverse proportion, xy = k ...(Constant)
If x = 4 and y = 6, then k = 4 × 6 = 24
Now, when x = 3, then `y = k/x`
⇒ `y = 24/3 = 8`
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