y varies inversely as x means y = k/x, where k is the constant.
As x increases, y decreases so that xy = k (constant).
Example: y varies inversely as x. When x = 2, y = 12.
k = xy = 2 × 12 = 24
So y = 24/x
When x = 6, y = 24/6 = 4
Other forms: y ∝ 1/x2 means y = k/x2.
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Solve:y ∝ 1/x. When x = 4, y = 5. Find y when x = 10.t ∝ 1/v2. When v …
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