The following table shows the number of science research articles authored by U.S. researchers during the period 1980-2010. Year t 5 10| 15| 20 30 (year since 1980) Articles N(t) (thousands) 170 200 220 260 252 290 340 (a) Find the interval(s) over which the average rate of change of N was the greatest. (Select all that apply.) O 2005-2010 O 1995-2000 O 1980-2010 O 2000-2010 O 1990-1995 O 1980-2010 What was that rate of change? articles per year Interpret your answer. O During this period, the number of articles authored by U.S. researchers increased the most. O During this period, the number of articles authored by U.S. researchers decreased the most. (b) The percentage change of N over the interval [a, b] is defined to be Percentage change of N = Change in N - N(b) - N(a) First value N(a) Compute the percentage change of N over the interval [0, 30] and also the average rate of change. (Round your answers to the nearest whole number.) percentage change of N % average rate of change articles per year Interpret the answers. O Over the period 1980-2010, the number of articles authored by U.S. researchers increased at an average rate of about 6 thousand articles per year, representing a 100 percent increase over that period. O Over the period 1980-2010, the number of articles authored by U.S. researchers decreased at an average rate of about 10 thousand articles per year, representing a 60 percent increase over that period. O Over the period 1980-2010, the number of articles authored by U.S. researchers decreased at an average rate of about 6 thousand articles per year, representing a 100 percent increase over that period. O Over the period 1980-2010, the number of articles authored by U.S. researchers increased at an average rate of about 10 thousand articles per year, representing a 60 percent increase over that period.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
icon
Concept explainers
Topic Video
Question
The following table shows the number of science research articles authored by U.S. researchers during the period 1980-2010.
Year t
5
10| 15| 20
30
(year since 1980)
Articles N(t)
(thousands)
170
200
220 260 252 290 340
(a) Find the interval(s) over which the average rate of change of N was the greatest. (Select all that apply.)
O 2005-2010
O 1995-2000
O 1980-2010
O 2000-2010
O 1990-1995
O 1980-2010
What was that rate of change?
articles per year
Interpret your answer.
O During this period, the number of articles authored by U.S. researchers increased the most.
O During this period, the number of articles authored by U.S. researchers decreased the most.
(b) The percentage change of N over the interval [a, b] is defined to be
Percentage change of N = Change in N - N(b) - N(a)
First value
N(a)
Compute the percentage change of N over the interval [0, 30] and also the average rate of change. (Round your answers to the nearest whole number.)
percentage change of N
%
average rate of change
articles per year
Interpret the answers.
O Over the period 1980-2010, the number of articles authored by U.S. researchers increased at an average rate of about 6 thousand articles per year, representing a 100 percent increase over that period.
O Over the period 1980-2010, the number of articles authored by U.S. researchers decreased at an average rate of about 10 thousand articles per year, representing a 60 percent increase over that period.
O Over the period 1980-2010, the number of articles authored by U.S. researchers decreased at an average rate of about 6 thousand articles per year, representing a 100 percent increase over that period.
O Over the period 1980-2010, the number of articles authored by U.S. researchers increased at an average rate of about 10 thousand articles per year, representing a 60 percent increase over that period.
Transcribed Image Text:The following table shows the number of science research articles authored by U.S. researchers during the period 1980-2010. Year t 5 10| 15| 20 30 (year since 1980) Articles N(t) (thousands) 170 200 220 260 252 290 340 (a) Find the interval(s) over which the average rate of change of N was the greatest. (Select all that apply.) O 2005-2010 O 1995-2000 O 1980-2010 O 2000-2010 O 1990-1995 O 1980-2010 What was that rate of change? articles per year Interpret your answer. O During this period, the number of articles authored by U.S. researchers increased the most. O During this period, the number of articles authored by U.S. researchers decreased the most. (b) The percentage change of N over the interval [a, b] is defined to be Percentage change of N = Change in N - N(b) - N(a) First value N(a) Compute the percentage change of N over the interval [0, 30] and also the average rate of change. (Round your answers to the nearest whole number.) percentage change of N % average rate of change articles per year Interpret the answers. O Over the period 1980-2010, the number of articles authored by U.S. researchers increased at an average rate of about 6 thousand articles per year, representing a 100 percent increase over that period. O Over the period 1980-2010, the number of articles authored by U.S. researchers decreased at an average rate of about 10 thousand articles per year, representing a 60 percent increase over that period. O Over the period 1980-2010, the number of articles authored by U.S. researchers decreased at an average rate of about 6 thousand articles per year, representing a 100 percent increase over that period. O Over the period 1980-2010, the number of articles authored by U.S. researchers increased at an average rate of about 10 thousand articles per year, representing a 60 percent increase over that period.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 7 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,