| Exam Board | CAIE |
| Module | P3 (Pure Mathematics 3) |
| Year | 2023 |
| Session | November |
| Topic | Exponential Equations & Modelling |
3
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The variables \(x\) and \(y\) are related by the equation \(y = a b ^ { x }\), where \(a\) and \(b\) are constants. The diagram shows the result of plotting \(\ln y\) against \(x\) for two pairs of values of \(x\) and \(y\). The coordinates of these points are \(( 1,3.7 )\) and \(( 2.2,6.46 )\).
Use this information to find the values of \(a\) and \(b\).