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 | \(6\) | \(19\) |
- decide whether its data are consistent with direct proportion, inverse proportion, or neither, justifying each decision;[4]
- 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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