| Exam Board | CAIE |
| Module | P2 (Pure Mathematics 2) |
| Year | 2012 |
| Session | November |
| Topic | Exponential Equations & Modelling |
5
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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 \(( 1,2.9 )\) and \(( 3.5,1.4 )\), as shown in the diagram. Find the values of \(A\) and \(b\), correct to 2 decimal places.