| Exam Board | CAIE |
| Module | P2 (Pure Mathematics 2) |
| Year | 2014 |
| Session | November |
| Topic | Exponential Equations & Modelling |
2
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The variables \(x\) and \(y\) satisfy the equation \(y = a \left( b ^ { x } \right)\), where \(a\) and \(b\) are constants. The graph of \(\ln y\) against \(x\) is a straight line passing through the points ( \(0.75,1.70\) ) and ( \(1.53,2.18\) ), as shown in the diagram. Find the values of \(a\) and \(b\) correct to 2 decimal places.