Inverse radical change and percentage

Inverse radical change and percentage

Secondary 2
4 marks
TGM Original Questions

Optional extension

The quantity \(y\) is inversely proportional to \(\sqrt{x-4}\), and \(y=\dfrac13\) when \(x=13\). Find

  1. \(x\) when \(y=2\), and[2]
  2. the percentage decrease in \(y\) when \(x\) rises from \(13\) to \(40\).[2]

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Answer:(i) \(x=\dfrac{17}{4}\) (ii) \(50\%\) decrease.

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