Posted by **Mariyka** on Sunday, September 17, 2006 at 11:28pm.

There were 7,404,000 unemployed American workers in 1995. In 1980, there were 7,637,000 Americans unemployed.

a. What was the average change in unemployment for each of these 15 years?

b. If this decline continues at the same rate, how many Americans will be unemployed in the year 2055?

There are several ways to solve this. you can think of this as a linear equation with the points

(1980, 7,637,000) and (1995, 7,404,000) where the first coordinate is the x value and the second is the unemployment number. The average change is the slope of the line and is given by

m = (7,404,000 - 7,637,000)/(1995 -1980)

You can solve part b by determining the equation for the line. This is the equation

y-7,404,000=m(x-1995) or y = mx - m*1995 + 7,404,000

Use the m you found for part a. Then put in x=2055 and find y.

Thanks Roger, but I need to have a simpliar answer than that. I appreciate your trying however.

Ok, well I don't know wheher you're expected to know algebra for this course or not, but this question involves knowlege of the equations for lines.

The data is

Year Unemployed

1980 7,637,000

1995 7,404,000

In a standard graph the years would be on the x-axis and the unemployed numbers would be on the y-axis. The two data points above will determine a line. The slope of the line is

m = (7,404,000 - 7,637,000)/(1995 - 1980) = -233000/15 = -15533.33

That is the average rate of change in the unemployed number each year.

The equation for the line through the two points is given by

y - 7,404,000 =m(x - 1995) or

(1) y = -15533*x + 38392335

To determine the unemployment rate in 2055, set x=2055 and solve for y.

I can't make this any simpler without doing it completely (and I've already done part a).

## Answer This Question

## Related Questions

- macroeconomics - (1) Population: 250,000 Unemployed: 20,000 Labor Force ...
- math - im in sixth grade and im confused with this question.there are 44,000 ...
- Statistics - The U.S. Department of Labor and Statistics released the current ...
- math - Tx unemployment rate is 7.2% If a total of 390,000 people who are able ...
- statistics math - The unemployment rate is 5.8% (Bureau of Labor Statistics, ...
- Economics - 1. According to the data table below, what is the unemployment rate...
- Economics - The economy consists of the following: - working-age population: 20M...
- Algebra - In 1980 median family income was about $18,000 and in 2000 it was 40,...
- Economics - Explain how it's possible for actual GDP to temporarily exceed full-...
- Math - In 2008 output for the country of OZ was 12,000 tons of potatoes and the ...

More Related Questions