2026 ZHSS P1 Q5

2026 ZHSS P1 Q5

Secondary 4
6 marks

A straight line graph is drawn for \(\lg y\) against \(x\) to represent the curve \(y=k^{x+h}\).

  1. Given that the line passes through the points \((0,3)\) and \((10,23)\) find the value of \(k\) and of \(h\).[4]
  2. Hence, find the value of \(x\) when \(\lg y=4x\).[2]

Solution:

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Answer:(a) \(k=100\), \(h=\dfrac32\) (b) \(x=\dfrac32\)

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