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.
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.
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbcd29be-2be5-45ba-b089-44b5693db361%2Fe1737a87-bda1-4694-aba6-86e59a7a51c3%2Fp7ncbhg.png&w=3840&q=75)
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.
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