An incorrect reading in reciprocal data

An incorrect reading in reciprocal data

Secondary 3
8 marks
TGM Original Questions

The values below should satisfy \(y=a+b/x\), but one value of \(y\) was recorded incorrectly.

\(x\)12345
\(y\)148854.4
  1. On separate graph paper, plot \(y\) against \(1/x\), and draw a straight line through the points that follow the pattern.[4]
  2. Identify the incorrect reading and estimate its correct value.[2]
  3. Find \(a\) and \(b\).[2]

Solution:

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Answer:(b) At \(x=3\), replace \(8\) with approximately \(6\). (c) \(a=2,\ b=12\).

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