Title: Riemann Sums Introduction PreVideo Questions
Course: Calculus I

Q: Madison decides to go for a run before school. She starts her run from home. The function y = v(t) expresses the relationship between Madison's velocity (in meters per minute) as she runs and the number of minutes t elapsed since she started running.
What does the sum [Image: equation] approximate?
- Madison's distance away from home after having run for 3 minutes (Correct)
- The average rate of change of Madison's velocity over the interval of time from t = 0 to t =(5)/(2). (Incorrect)
- The change in Madison's distance away from home over the interval of time from t=0 to t=6. (Incorrect)
- Madison's distance away from home after having run for 6 minutes. (Incorrect)
- Madison's acceleration over the interval of time from t=0 to t=6. (Incorrect)
A: Madison's distance away from home after having run for 3 minutes

Q: Madison decides to go for a run before school. She starts her run from home. The function y = v(t)expresses the relationship between Madison's velocity (in meters per minute) as she runs and the number of minutes t elapsed since she started running.
What does the area of the blue rectangle on the graph of the function y = v(t) below represent?
[Image: PIC]
- Madison's average velocity over the interval of time from t=3 to t=4. (Incorrect)
- Madison's distance away from home 3 minutes after she started running. (Incorrect)
- The velocity at which Madison runs over the interval of time from t=3 to t=4. (Incorrect)
- Madison's acceleration over the interval of time from t=3 to t=4 (Incorrect)
- The change in Madison's distance away from home over the interval of time from t=3 to t=4. (Correct)
A: The change in Madison's distance away from home over the interval of time from t=3 to t=4.

Q: Madison decides to go for a run before school. She starts her run from home. The function y = v(t) expresses the relationship between Madison's velocity (in meters per minute) as she runs and the number of minutes t elapsed since she started running.
What does the product [Image: equation] approximate?
- The average rate of change of Madison's velocity over a particular [Image: equation] interval. (Incorrect)
- Madison's acceleration over a particular [Image: equation] interval. (Incorrect)
- The change in Madison's distance away from home over a particular [Image: equation] interval. (Correct)
- Madison's distance away from home after having a run for [Image: equation] minutes. (Incorrect)
- Madison's instantaneous velocity at a particular moment in time. (Incorrect)
A: The change in Madison's distance away from home over a particular [Image: equation] interval.