3. Understand Proportional Relationships: Equivalent Ratios
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Two quantities are proportional if all ratios that relate the quantities are equal.
No, see solution.
Recall that two quantities are proportional if all ratios that relate the quantities are equal. Keeping this in mind, let's take a look at the given table.
| x | 2 | 3 | 5 | 8 |
|---|---|---|---|---|
| y | 5 | 7.5 | 12.5 | 18 |
| y/x | 5/2=2.5/1 | 7.5/3=2.5/1 | 12.5/5=2.5/1 | 18/8=2.25/1 |
Because the ratios are not the same between each pair of quantities, we know that the relationship is not proportional.