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Before watching the videos, think about and answer these questions to the best of
your ability.

Questions 1 - 3 refer to the following context:

Madison decides to go for a run before school. She starts her run from home. The
function expresses the relationship between Madison’s velocity (in meters per
minute) as she runs and the number of minutes elapsed since she started
running.

What does the product approximate?

The average rate of change of Madison’s velocity over a particular interval.Madison’s acceleration over a particular interval.The change in Madison’s
distance away from home over a particular interval.Madison’s distance away from
home after having run for minutes.Madison’s instantaneous velocity at a
particular moment in time.

What does the area of the blue rectangle on the graph of the function below
represent?

Madison’s average velocity over the interval of time from to .Madison’s distance
away from home 3 minutes after she started running.The velocity at which
Madison runs over the interval of time from to .Madison’s acceleration over the
interval of time from to .The change in Madison’s distance away from home over
the interval of time from to .

What does the sum approximate?

Madison’s distance away from home after having run for 2.5 minutes.The
average rate of change of Madison’s velocity over the interval of time from to .The change in Madison’s distance away from home over the interval of
time from to .Madison’s distance away from home after having run for
6 minutes.Madison’s acceleration over the interval of time from to .

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