Power relationship from a table

Power relationship from a table

Secondary 2
3 marks
TGM Original Questions

Optional extension

The variables satisfy \(x=ay^b\), where \(a,b\) are constants. Use the table to find \(a,b,c\).[3]

\(x\)\(0\)\(3\)\(24\)\(c\)
\(y\)\(0\)\(1\)\(2\)\(3\)

Solution:

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Answer:\(a=3,b=3,c=81\).

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