30. Scientifie Research The number z of research articles in Physical Review that were written by researchers in the United States from 1993 through 2003 can be approxi- mated by z = 5,960 - 0.71x + 0.50y (3,000 = x, y 6,000) articles each year, where x is the number of articles written by researchers in Europe and y is the number written by researchers in other countries (excluding Europe and the United States). a. In 2000, approximately 5,500 articles were written by researchers in Europe, and 4,500 were written by researchers in other countries. How many (to the near- est 100) were written by researchers in the United States? b. According to the model, if 5,000 articles were written in Europe and an equal number were written by researchers in the United States and other countries, what would that number be ? C. What is the significanee of the fact that the coefficient of x is negative?

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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30. Scientific Research The number z of research articles in
Physical Review that were written by researchers in the
United States from 1993 through 2003 can be approxi-
mated by
z= 5,960 0.71x +
0.50y (3,000 = x, y 5 6,000)
articles each year, where x is the number of articles written
by researchers in Europe and y is the number written by
researchers in other countries (excluding Europe and the
United States).
a. In 2000, approximately 5,500 articles were written by
researchers in Europe, and 4,500 were written by
researchers in other countries. How many (to the near-
est 100) were written by researchers in the United
States?
b. According to the model, if 5,000 articles were written
in Europe and an equal number were written by
researchers in the United States and other countries,
what would that number be?
c. What is the significance of the fact that the coefheient
of x is negative ?
Transcribed Image Text:30. Scientific Research The number z of research articles in Physical Review that were written by researchers in the United States from 1993 through 2003 can be approxi- mated by z= 5,960 0.71x + 0.50y (3,000 = x, y 5 6,000) articles each year, where x is the number of articles written by researchers in Europe and y is the number written by researchers in other countries (excluding Europe and the United States). a. In 2000, approximately 5,500 articles were written by researchers in Europe, and 4,500 were written by researchers in other countries. How many (to the near- est 100) were written by researchers in the United States? b. According to the model, if 5,000 articles were written in Europe and an equal number were written by researchers in the United States and other countries, what would that number be? c. What is the significance of the fact that the coefheient of x is negative ?
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