Proving Two Variables in Inverse Proportion

Proving Two Variables in Inverse Proportion

Secondary 2

The table shows some corresponding values of \(x\) and \(y\).

\(x\)\(20\)\(80\)\(100\)
\(y\)\(6\)\(1.5\)\(1.2\)
  1. Show that \(x\) and \(y\) are in inverse proportion.
  2. Sketch the graph of \(y\) against \(x\).

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Answer:(a) \(xy=120\). (b) \(y=120/x\): the first-quadrant branch for positive values; both first- and third-quadrant branches on the full real domain.

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