Subjects algebra

Calories Per Minute D29723

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

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**.