4. Proportional and Nonproportional Relationships
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Two quantities are proportional if there is a constant unit rate, or ratio, each time the values change.
Yes, see solution.
In the given scenario, we know that an adult elephant drinks 225 liters of water each day. Let's use this to complete a table of values.
| Time (days), x | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Water (L), y | 225* 1= 225 | 225* 2= 450 | 225* 3= 675 | 225* 4= 900 |
| y/x | 225/1 | 450/2 | 675/3 | 900/4 |
| Simplified Ratio | 225 | 225 | 225 | 225 |
Notice that the simplified ratios for all pairs is 225. This means that the number of days the water supply lasts is proportional to the number of liters of water the elephant drinks.