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Proving Two Variables in Direct Proportion

Proving Two Variables in Direct Proportion

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

\(x\)\(2\)\(4\)\(6\)
\(b\)\(12\)\(24\)\(36\)
  1. Show that \(x\) and \(b\) are in direct proportion.
  2. Sketch the graph of \(b\) against \(x\).

Solution:

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Answer:(a) \(b/x=6\) for each given pair. (b) The straight line \(b=6x\), through the origin with gradient \(6\).

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