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QuestionMathematics

Which table shows a proportional relationship between a and b | | | | | --- | --- | --- | | a | b | | | 3 | 9 | | | 4 | 12 | | | 5 | 20 | | | | | | | --- | --- | --- | | a | b | | | 20 | 25 | | | 24 | 30 | | | 32 | 40 | | | | | | | --- | --- | --- | | a | b | | | 4 | 12 | | | 5 | 15 | | | 6 | 24 | | | | | | | --- | --- | --- | | a | b | | | 3 | 4 | | | 6 | 9 | | | 12 | 16 | |
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Answer

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Step 1:
I'll solve this step by step using the proportional relationship test.

Step 2:
: Recall the definition of a proportional relationship

This means $$\frac{b}{a}$$ should be the same for all pairs of values.
A proportional relationship exists when the ratio between corresponding values remains constant.

Step 3:
: Calculate the ratio \frac{b}{a} for each table

- Third row: $$\frac{16}{12} = 1.33$$ (Not consistent)
Table 1: Table 2: Table 3: Table 4:

Final Answer

Table 2 shows a proportional relationship between a and b.