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 p.m. on the first day she wore the watch. t (min) 0 Steps (a) Find the slopes of the secant lines corresponding to the given intervals of t. (i) [0, 40] (ii) [10, 20] (iii) [20, 30] 10 20 30 40 3,488 4,509 5,772 6,636 7,408 (b) Estimate the student's walking pace, in steps per minute, at 3:20 p.m. by averaging the slopes of two secant lines from part (a). (Round your answer to the nearest integer.) steps per minute
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 p.m. on the first day she wore the watch. t (min) 0 Steps (a) Find the slopes of the secant lines corresponding to the given intervals of t. (i) [0, 40] (ii) [10, 20] (iii) [20, 30] 10 20 30 40 3,488 4,509 5,772 6,636 7,408 (b) Estimate the student's walking pace, in steps per minute, at 3:20 p.m. by averaging the slopes of two secant lines from part (a). (Round your answer to the nearest integer.) steps per minute
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 p.m. on the first day she wore the watch.
t (min) 0
Steps
(i) [0, 40]
(ii) [10, 20]
10
(iii) [20, 30]
20
30
(a) Find the slopes of the secant lines corresponding to the given intervals of t.
40
3,488 4,509 5,772 6,636 7,408
(b) Estimate the student's walking pace, in steps per minute, at 3:20 p.m. by averaging the slopes of two secant lines from part (a). (Round your answer to the nearest integer.)
steps per minute](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e135d5c-f867-4afd-9f0d-b505f4f19664%2Fc823d1d8-c8dd-49e9-a425-852a330ed386%2Feged6lg_processed.png&w=3840&q=75)
Transcribed Image Text: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 p.m. on the first day she wore the watch.
t (min) 0
Steps
(i) [0, 40]
(ii) [10, 20]
10
(iii) [20, 30]
20
30
(a) Find the slopes of the secant lines corresponding to the given intervals of t.
40
3,488 4,509 5,772 6,636 7,408
(b) Estimate the student's walking pace, in steps per minute, at 3:20 p.m. by averaging the slopes of two secant lines from part (a). (Round your answer to the nearest integer.)
steps per minute
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