Direct Proportion Between \(x\) and \({{(y-3)}^{2}}\)

Direct Proportion Between \(x\) and \({{(y-3)}^{2}}\)

Secondary 2

\(x\) is directly proportional to \({{(y-3)}^{2}}\) and \(y\) is positive. The table below shows some corresponding values of \(x\) and \(y\).

\(x\)\(a\)\(2\)\(72\)
\(y\)\(1.2\)\(5\)\(b\)

Find the

  1. equation connecting \(x\) and \(y\).
  2. value of \(a\).
  3. value of \(b\).

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Answer:(a) \(x = \frac{1}{2}(y-3)^2\), (b) \(a = 1.62\), (c) \(b = 15\)

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