2024 IGCSE Additional Mathematics February/March 0606/22 Q8

10 marks

Variables \(y\) and \(x\) are known to be connected by the relationship \(y=Ab^x\) where \(A\) and \(b\) are constants.

The table shows values of \(y\) for certain values of \(x\).

\(x\)	1	3	5	10	12
\(y\)	38	150	600	\(20\,500\)	\(82\,000\)

Draw the graph of \(\lg y\) against \(x\).[2]
Use your graph to find values of \(A\) and \(b\), giving each to \(1\) significant figure.[6]
Find an estimate of \(x\) when \(y=1500\).[2]

Similar questions are unavailable for this question.

Answer:(a) Graph shown. (b) \(A=20,\ b=2\) (1 s.f.). (c) \(x\approx6.3\).

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