An inverse-proportion graph

An inverse-proportion graph

Secondary 2
6 marks
TGM Original Questions

For positive values of \(x\), \(y\) is inversely proportional to \(x\). Given \(y=6\) when \(x=2\),

  1. find the equation;[2]
  2. form a table for \(x=1,2,3,4,6,12\) and draw the curve;[3]
  3. explain why doubling \(x\) halves \(y\).[1]

Solution:

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Answer:(a) \(y=12/x\). (b) Table: \(12,6,4,3,2,1\); see curve. (c) \(12/(2x)=\tfrac12(12/x)\), so doubling \(x\) halves \(y\).

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