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Problem of the Week 7

Directions: Show all necessary steps and calculations for the problem below. As usual, do not be shy in using language to explain your solution.

Scientific Articles An important indicator of the innovation and the health of a country’s economy is the publication of articles in scholarly journals. These articles are often followed by patents and new products. Based on data from the National Science Foundation, the following equations can be used:

(1) United States $\,\,\,\,y = 200$
(2) Europe $\,\,\,\,\,\,\,\,\,\,\, y = 6.8x + 160$

where $x$ is the number of years since 1990 and $y$ is the number of publications in thousands.

a. Solve this system of equations.

b. Interpret the meaning of this solution.