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 elevator ascends at a rate of 750 feet per minute. Let's use this to complete a table of values.
| Time (min), x | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Height (ft), y | 750* 1= 750 | 750* 2= 1500 | 750* 3= 2250 | 750* 4= 3000 |
| y/x | 750/1 | 1500/2 | 2250/3 | 3000/4 |
| Simplified Ratio | 750 | 750 | 750 | 750 |
Notice that the simplified ratios for all pairs is 750. This means that the height to which the elevator ascends is proportional to the number of minutes it takes to get there.