1. **State the problem:** We need to find the unit rate of calories burned per minute from the given data points.
2. **Identify the data points:** The points given are approximately (2, 20), (4, 40), (6, 60), and (8, 80), where the first coordinate is time in minutes and the second is calories burned.
3. **Formula for unit rate:** The unit rate is the ratio of calories burned to time, calculated as $$\text{Unit rate} = \frac{\text{Calories burned}}{\text{Time in minutes}}$$
4. **Calculate the unit rate using one point:** Using the point (2, 20),
$$\text{Unit rate} = \frac{20}{2}$$
5. **Simplify the fraction:**
$$\frac{20}{2} = \cancel{\frac{20}{2}} = 10$$
6. **Verify with another point:** Using (4, 40),
$$\frac{40}{4} = \cancel{\frac{40}{4}} = 10$$
7. **Conclusion:** The unit rate is consistent across points and equals 10 calories per minute.
**Final answer:** The unit rate is **10 calories per minute**.
Calories Per Minute D29723
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