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Question
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---
A.3x/2
B.7x/5
c.4x/3
D.x/2
E.2x/5

"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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Word Problems

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