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Economists have projected that from 1980 to 1999 there will be a 46.6 percent increase in the number of food-service workers in the United States.If there were x such workers in 1980,then the number projected for 1990 is closest to---

"from 1980 to 1999 there will be a 46.6 percent increase in the number of food-service workers"
Assuming the growth is linear, it increases every year.
You can eliminate D and E, because x/2 < x and 2x/5 < x, which indicate decreases.

1999-1980 = 19 years
The number of workers grows by (46.6/19)% per year.

1990-1980 = 10 years
In 1990 the number of workers is (100% + (10/19)46.6%)x ≅ 1.245x

Now compare the choices to 1.245x.
3x/2 = 1.5x
7x/5 = 1.4x
4x/3 ≅ 1.3x

4x/3 is the closest to 1.245x  

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Janet Yang


Word problems are my favorite type of math questions! I would not feel comfortable answering questions that require specialized knowledge (Physics, Statistics, etc.) because I have not studied these in depth.


I tutor students (fifth through twelfth grades) and am a Top Contributor on Yahoo!Answers with over 24,000 math solutions.

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I have a Bachelor's degree in Applied Mathematics from the University of California at Berkeley, and a Master of Business Administration degree from The Wharton School.

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