Question
If x varies inversely as y and x = 2 when y = 6, then
the value of y when x = 3 is:Solution
Since x varies inversely as y, x × y = k (a constant). Given x = 2 and y = 6, we find the constant: 2 × 6 = 12 ⟹ k = 12 When x = 3: 3 × y = 12 ⟹ y = 12/3 = 4 The value of y when x= 3 is 4.
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