Direct Proportion Between \(๐‘ฅ\) and \(๐‘ฆ\)

Direct Proportion Between \(๐‘ฅ\) and \(๐‘ฆ\)

Secondary 2

It is given that \(x\) and \(y\) are in direct proportion and the difference in \(y\), when \(x\) is \(5\) and \(13\), is \(48\).

  1. Find the equation connecting \(x\) and \(y\).
  2. Find the value of \(x\) when \(y=72\).

Source check: an unsigned difference of \(48\) does not determine the sign of the constant. The positive answer assumes \(y(13)-y(5)=48\).

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Answer:(a) \(y=6x\) or \(y=-6x\). (b) Respectively, \(x=12\) or \(x=-12\).

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