Medical evidence shows that a small change in the radius of an artery can indicate a large change in blood flow. For example, if one artery has a radius only 5% larger than another, the blood flow rate is 1.22 times as large. Further information is given in the table below. Increase in radius Times greater blood flow rate 5% 1.22 10% 1.46 15% 1.75 20% 2.07 (a) Use the average rate of change to estimate how many times greater the blood flow rate is in an artery that has a radius 8% larger than another. (Round your answer to three decimal places.) 1.364 times greater (b) Explain why if the radius is increased by 8% and then we increase the radius of the new artery by 8% again, the total increase in the radius is 16.64%. x + 8% of x x + 8/100 X x x + 0.08x = 1.08x 1.08x + 8% of (1.08x) 1.08x + 8/100 X (1.08x) 1.08x + 0.0864x = 0.1664x = 16.64% (c) Use parts (a) and (b) to answer the following question: How many times greater is the blood flow rate in an artery that is 16.64% larger in radius than another? (Round you answer to three decimal places.)
Medical evidence shows that a small change in the radius of an artery can indicate a large change in blood flow. For example, if one artery has a radius only 5% larger than another, the blood flow rate is 1.22 times as large. Further information is given in the table below. Increase in radius Times greater blood flow rate 5% 1.22 10% 1.46 15% 1.75 20% 2.07 (a) Use the average rate of change to estimate how many times greater the blood flow rate is in an artery that has a radius 8% larger than another. (Round your answer to three decimal places.) 1.364 times greater (b) Explain why if the radius is increased by 8% and then we increase the radius of the new artery by 8% again, the total increase in the radius is 16.64%. x + 8% of x x + 8/100 X x x + 0.08x = 1.08x 1.08x + 8% of (1.08x) 1.08x + 8/100 X (1.08x) 1.08x + 0.0864x = 0.1664x = 16.64% (c) Use parts (a) and (b) to answer the following question: How many times greater is the blood flow rate in an artery that is 16.64% larger in radius than another? (Round you answer to three decimal places.)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 33E: DVD Player Sales The table shows the number of DVD players sold in a small electronics store in the...
Related questions
Question
Medical evidence shows that a small change in the radius of an artery can indicate a large change in blood flow. For example, if one artery has a radius only 5% larger than another, the blood flow rate is 1.22 times as large. Further information is given in the table below.
| Increase in radius | Times greater blood flow rate |
|---|---|
| 5% | 1.22 |
| 10% | 1.46 |
| 15% | 1.75 |
| 20% | 2.07 |
(a) Use the average rate of change to estimate how many times greater the blood flow rate is in an artery that has a radius 8% larger than another. (Round your answer to three decimal places.)
1.364 times greater
(b) Explain why if the radius is increased by 8% and then we increase the radius of the new artery by 8% again, the total increase in the radius is 16.64%.
x + 8% of x
x + 8/100 X x
x + 0.08x = 1.08x
1.08x + 8% of (1.08x)
1.08x + 8/100 X (1.08x)
1.08x + 0.0864x = 0.1664x = 16.64%
(c) Use parts (a) and (b) to answer the following question: How many times greater is the blood flow rate in an artery that is 16.64% larger in radius than another? (Round you answer to three decimal places.)
1.364 times greater
(b) Explain why if the radius is increased by 8% and then we increase the radius of the new artery by 8% again, the total increase in the radius is 16.64%.
x + 8/100 X x
x + 0.08x = 1.08x
1.08x + 8% of (1.08x)
1.08x + 8/100 X (1.08x)
1.08x + 0.0864x = 0.1664x = 16.64%
(c) Use parts (a) and (b) to answer the following question: How many times greater is the blood flow rate in an artery that is 16.64% larger in radius than another? (Round you answer to three decimal places.)
Expert Solution
Step 1
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt