Direct cube-root relationship

Direct cube-root relationship

Secondary 2
TGM Original Questions

It is given that \(y\) is directly proportional to \(\sqrt[3]{x}\), and \(y=2\) when \(x=8\).

  1. Express \(y\) in terms of \(x\).
  2. Hence find
    1. \(y\) when \(x=-125\), and
    2. \(x\) when \(y=4\).

Solution:

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Answer:(a) \(y=\sqrt[3]{x}\); (b)(i) \(y=-5\); (ii) \(x=64\).

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