Finding parameters in a reciprocal-plus-constant model

Finding parameters in a reciprocal-plus-constant model

Secondary 2

7 marks

TGM Original Questions

The variables \(x\) and \(y\) are related by \(y=\frac{a}{x}+b\). It is given that \(y=5\) when \(x=2\), and \(y=3\) when \(x=4\).

Using the given information, write down two equations connecting \(a\) and \(b\).[2]
Solve the equations obtained in (a) to find \(a\) and \(b\).[3]
Hence, find the value of \(y\) when \(x=8\).[2]

Solution:

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Answer:\(a=8\), \(b=1\); when \(x=8\), \(y=2\).

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