150 140 130 120 110 100 90 80 70 60 50 40 30 20 14 15 18 19 20 Time (minutes) a) Use a secant line to calculate the average rate of change of heart rate from t = 0 to t = 10 minutes. Heart Rate (bpm)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter6: Rates Of Change
Section6.2: Rates Of Change For Other Functions
Problem 15SBE
icon
Related questions
Question

Pls help ASAP

9. The graph below represents the heart rate, in beats per minute (bpm) of a runner t minutes after
finishing a race.
Heart Rate Recovery
200
-190
-180
170
-160
150
140
130
120
110
-100
-90
-80
70
60
50
40
30
20
10
12
13
14
15
16
17
18
19
20
Time (minutes)
a) Use a secant line to calculate the average rate of change of heart rate from t = 0 to t = 10
minutes.
%3D
b) Use a tangent line to calculate the instantaneous rate of change of heart rate at t = 7 minutes.
Heart Rate (bpm)
Transcribed Image Text:9. The graph below represents the heart rate, in beats per minute (bpm) of a runner t minutes after finishing a race. Heart Rate Recovery 200 -190 -180 170 -160 150 140 130 120 110 -100 -90 -80 70 60 50 40 30 20 10 12 13 14 15 16 17 18 19 20 Time (minutes) a) Use a secant line to calculate the average rate of change of heart rate from t = 0 to t = 10 minutes. %3D b) Use a tangent line to calculate the instantaneous rate of change of heart rate at t = 7 minutes. Heart Rate (bpm)
c) The graph above (question 9) can be modeled with the equation R(t) = 120(0.75) + 60.
Use the equation to verify the results from above:
i) average ROC of heart rate from t = 0 to t = 10 minutes.
ii) instantaneous rate of change of heart rate at t = 7 minutes.
Transcribed Image Text:c) The graph above (question 9) can be modeled with the equation R(t) = 120(0.75) + 60. Use the equation to verify the results from above: i) average ROC of heart rate from t = 0 to t = 10 minutes. ii) instantaneous rate of change of heart rate at t = 7 minutes.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Basics (types, similarity, etc)
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage