2023 CSS AM S3 EOY Q2

2023 CSS AM S3 EOY Q2

Secondary 3
6 marks

A straight line passing through \(R(1, -7)\), \(S(5, k)\) and \(T(9, 9)\) is obtained when \(\lg y\) is plotted against \(x\), where \(x\) and \(y\) are variables.

Graph of lg y against x
Graph of lg y against x
  1. Find \(y\) in terms of \(x\).[3]
  2. Show that \(k = 1\).[2]
  3. Hence, find the value of \(y\) at point \(S\).[1]

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Answer:(a) \(y=10^{2x-9}\) (b) \(k=1\) (c) \(y=10\)

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