2026 IGCSE Additional Mathematics May/June 0606/23 Q4

Two variables, \(x\) and \(y\), are known to be related by an equation of the form \(y=Px^4+Q\), where \(P\) and \(Q\) are constants.

In an experiment, the following values of \(x\) and \(y\) were recorded.

1. On the axes, draw a straight-line graph for \(y\) against \(x^4\).[2]
2. Hence estimate the values of \(P\) and \(Q\).[3]
3. Use your graph to estimate \(y\) when \(x=1.05\).[1]