Advanced inverse cube-root changes

Advanced inverse cube-root changes

Secondary 2
TGM Original Questions

The quantity \(y\) is inversely proportional to \(\sqrt[3]{x}\).

  1. If \(y\) is halved, \(x\) becomes \(p\) times its original value; find \(p\).
  2. The difference between the values of \(y\) at \(x=8\) and \(x=27\) is \(5\). Express \(y\) in terms of \(x\).

Solution:

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Answer:(a) \(p=8\); (b) \(y=\frac{30}{\sqrt[3]{x}}\).

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