A student bought a smartwatch that tracks the number of steps she walks throughout the day. The

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A student bought a smartwatch that tracks the number of steps she walks throughout the day. The table shows the number of steps recorded t minutes after 3:00 pm on the first day she wore the watch.

t (min) 10 20 30 40 Steps 3438 4559 5622 6536 7398

(a) Find the slopes of the secant lines corresponding to the given intervals of t. What do these slopes represent?

(i) [0, 40] 

(ii) [10, 20] 

(iii) [20, 30]

(b) Estimate the student’s walking pace, in steps per minute, at 3:20 pm by averaging the slopes of two secant lines.

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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