3. Rate of Change and Slope
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Can you identify a pattern of change between each row in the table?
20/3mm/day
To determine the rate of change in the given table, let's see if we can identify a pattern of change between each row. Note that "time" is the independent variable, usually represented by x, and "height" is the dependent variable, usually expressed by y.
| Change in x | Time (day) | Height (mm) | Change in y |
|---|---|---|---|
| 3 | 20 | ||
| +3 ↪ | 6 | 40 | +20 ↩ |
| +3 ↪ | 9 | 60 | +20 ↩ |
| +3 ↪ | 12 | 80 | +20 ↩ |
| +3 ↪ | 15 | 100 | +20 ↩ |
Change in x= 3, Change in y= 20
The rate of change is 203mm/day.