2024 IGCSE Additional Mathematics October/November 0606/13 Q6

9 marks

The table shows the variables \(x\) and \(y\) which are related by the equation \(y=Ab^{x^2}\), where \(A\) and \(b\) are constants.

\(x\)	1	1.5	2	2.5	3
\(y\)	14	33.3	112	532.8	3584

Use the data to draw a straight line graph of \(\ln y\) against \(x^2\).[2]
Use your graph to estimate the values of \(A\) and \(b\). Give your answers correct to 1 significant figure.[5]
Use your graph to estimate the value of \(x\) when \(y=200\). Give your answer correct to 2 significant figures.[2]

Similar questions are unavailable for this question.

Answer:(a) Graph shown. (b) \(A=7,b=2\) (1 s.f.). (c) \(x=2.2\) (2 s.f.).

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