0606 P13 - Nov 2019 - Q6 - 10 marks
8349
The table shows values of the variables \(x\) and \(y\) such that \(y=Ab^{x^2}\), where \(A\) and \(b\) are constants.
| \(x\) | 1 | 1.5 | 2 | 2.5 | 3 |
|---|---|---|---|---|---|
| \(y\) | 6 | 14.3 | 48 | 228 | 1536 |
(i) Draw a straight line graph to show that \(y=Ab^{x^2}\).
(ii) Use your graph to find the value of \(A\) and of \(b\).
(iii) Estimate the value of \(x\) when \(y=100\).
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