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Ratio table illustrating the relationship between variables a and b, where a is multiplied by 2, 3, 6, and 9 to get corresponding values of b.

Ratio table showing values of a and b with multiplication factors between them.

Ratio table showing values of a and b with multiplication factors between them.

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Show Answer Key & Explanations Step-by-step solution for: Ratios and Ratio Tables (Definition, Examples) Byjus
Let’s look at the ratio table step by step.

We have two columns: a and b.

The values in column a are:
1, 2, 3, 6, 9

The values in column b are:
4, 8, 12, 24, 36

Now let’s check the relationships shown with arrows:

- From a = 1 to a = 2: multiply by 2 → 1 × 2 = 2
- From a = 2 to a = 3: wait — that’s not multiplying by 3. Actually, looking again, the arrow says “x3” from 1 to 3? Let me recheck.

Actually, the arrows on the left side (for column a) show:
- From 1 → 2: labeled “x2” → 1 × 2 = 2
- From 1 → 3: labeled “x3” → 1 × 3 = 3
Then it continues down: 6 and 9 — which are 1×6 and 1×9.

On the right side (column b):
- From 4 → 8: x2 → 4 × 2 = 8
- From 4 → 12: x3 → 4 × 3 = 12
- From 4 → 24: x6 → 4 × 6 = 24
- From 4 → 36: x9 → 4 × 9 = 36

So actually, each value in column b is just 4 times the corresponding value in column a.

Check:
- a=1 → b=4 → 1×4=4
- a=2 → b=8 → 2×4=8
- a=3 → b=12 → 3×4=12
- a=6 → b=24 → 6×4=24
- a=9 → b=36 → 9×4=36

Perfect! So the rule is: b = a × 4

That means for any number in column a, you multiply by 4 to get the matching number in column b.

Final Answer:
b = a × 4
Parent Tip: Review the logic above to help your child master the concept of ratio tables math.
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