Time Time Velocity Velocity (m/sec) (min) (min) (m/sec) 1 35 1.2 1.2 40 1.0 10 1.7 45 1.8 15 2.0 50 1.5 20 1.8 55 1.2 25 1.6 60 30 1.4

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 1SE: Can the average rate of change of a function be constant?
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Question

You are sitting on the bank of a
tidal river watching the incoming tide carry a bottle upstream.
You record the velocity of the flow every 5 minutes for an hour,
with the results shown in the accompanying table. About how far
upstream did the bottle travel during that hour? Find an estimate
using 12 subintervals of length 5 with a. left-endpoint values.
b. right-endpoint values.

Time
Time
Velocity
Velocity
(m/sec)
(min)
(min)
(m/sec)
1
35
1.2
1.2
40
1.0
10
1.7
45
1.8
15
2.0
50
1.5
20
1.8
55
1.2
25
1.6
60
30
1.4
Transcribed Image Text:Time Time Velocity Velocity (m/sec) (min) (min) (m/sec) 1 35 1.2 1.2 40 1.0 10 1.7 45 1.8 15 2.0 50 1.5 20 1.8 55 1.2 25 1.6 60 30 1.4
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