Choosing between ratio and product

Choosing between ratio and product

Secondary 2
7 marks
TGM Original Questions

Core stretch

For each table below:

Table\(x\)\(y\)
A\(2\)\(18\)
A\(3\)\(12\)
A\(6\)\(6\)
B\(2\)\(7\)
B\(3\)\(10\)
B\(6\)\(19\)
  1. decide whether its data are consistent with direct proportion, inverse proportion, or neither, justifying each decision;[4]
  2. for table A, draw the curve for \(2\le x\le6\), adding the values at \(x=4,5\).[3]

Solution:

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Answer:(a) A: inverse proportion, since \(xy=36\); B: neither, since neither ratio nor product is constant. (b) \(y=36/x\); added values \(9,7.2\); see curve.

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