0606 P13 - Jun 2023 - Q7 - 10 marks
7679
The table shows values of the variables \(x\) and \(y\) which are related by an equation of the form \(y=Ax^b\), where \(A\) and \(b\) are constants.
| \(x\) | 1.5 | 2 | 2.5 | 3 | 4 |
|---|---|---|---|---|---|
| \(y\) | 13.8 | 27.5 | 46.9 | 72.6 | 145 |
(a) Use the data to draw a straight line graph of \(\ln y\) against \(\ln x\).
(b) Use your graph to estimate the values of \(A\) and \(b\).
(c) Estimate the value of \(x\) when \(y=100\).
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