| Exam Board | CAIE |
| Module | P2 (Pure Mathematics 2) |
| Year | 2011 |
| Session | June |
| Topic | Exponential Equations & Modelling |
3
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The variables \(x\) and \(y\) satisfy the equation \(y = K x ^ { m }\), where \(K\) and \(m\) are constants. The graph of \(\ln y\) against \(\ln x\) is a straight line passing through the points \(( 0,2.0 )\) and \(( 6,10.2 )\), as shown in the diagram. Find the values of \(K\) and \(m\), correct to 2 decimal places.