3. Rate of Change and Slope
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Can you identify a pattern of change between each row in the table?
16/5cm^3/sec
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 "volume" is the dependent variable, usually expressed by y.
| Change in x | Time (sec) | Volume (cm^3) | Change in y |
|---|---|---|---|
| 5 | 16 | ||
| +5 ↪ | 10 | 32 | +16 ↩ |
| +5 ↪ | 15 | 48 | +16 ↩ |
| +5 ↪ | 20 | 64 | +16 ↩ |
| +5 ↪ | 25 | 80 | +16 ↩ |
Change in x= 5, Change in y= 16
The rate of change is 165cm^3/sec.