Answered: The following table shows the number of…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 4ECP

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Question

19)

The following table shows the number of science research articles in a journal authored by researchers in the European Union during the period 1980–2010.

Year t (year since 1980)	0	5	10	15	20	25	30
Articles N(t) (thousands)	150	190	200	260	310	350	430

(a) Find the interval(s) over which the average rate of change of N was the least positive. (Select all that apply.)

1980–2010

1980–1985

1990–1995

1985–1990

2000–2005

What was that rate of change?
_______thousand articles per year

Interpret your answer.

During this period, the number of articles authored by researchers in Europe increased at an average rate of____________ articles per year.

(b) The percentage change of N over the interval [a, b] is defined to be

Percentage change of

N =

Change in N

First value

N(b) − N(a)

N(a)

Compute the percentage change of N over the interval [10, 30]. (Round your answer to the nearest whole number.)
__________ %

Compute the average rate of change. (Round your answer to three decimal places.)
__________thousand articles per year

Interpret the answers. (Round your answers to the nearest whole number.)

Over the period 1990–2010, the number of articles authored by researchers in Europe increased at an average rate of about articles per year, representing a __________ % increase over that period.

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