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Absolute Change and Relative Change

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Questions 1-6. The table below represents the monthly unemployment rates in the US from January of 2005 through May of 2016.

http://data.bls.gov/timeseries/LNS14000000
1. Find the relative change in unemployment from January 2005 to December of 2015. (enter a percent rounded to the nearest hundredth)
2. Find the absolute change in the unemployment rate during 2015 (from Jan 15 to Dec 15). (round to the tenths place)
3. Find the relative change in the unemployment rate during 2015. (enter a percent rounded to the nearest hundredth)
4. Find the absolute change in the unemployment rate during 2008. (round to the tenths place)
5. Find the relative change in the unemployment rate during 2008. (enter a percent rounded to the nearest hundredth)
6. Write a sentence reporting on the unemployment rate for 2008 using the values calculated in the previous questions.

Questions 7-8. Your friend's office is having a weight loss contest, the winner will get $100. The participants' weights are
in the table below:
Name Start Finish Absolute Relative
Jenny 145 lbs 120 lbs
Dave 310 lbs 260 lbs
Phil 230 lbs 180 lbs
Mary 120 lbs 99 lbs
7. Find the absolute and relative changes for the participants. Fill your answers in the table. (enter the relative change
column as a percent rounded to the hundredths place)
8. Who do you believe should get the $100, explain why.
Questions 9-11. The fair market rental rate for Bloomington is $747 and for Kokomo is $654.
9. Find the relative change when comparing Bloomington to Kokomo. (enter a percent rounded to the hundredths
place)
10. Find the relative change when comparing Kokomo to Bloomington. (enter a percent rounded to the hundredths
place)
11. Write 2 sentences describing the difference in rent between Kokomo to Bloomington.
12. The table shows the inflation-adjusted annual income per person in 1990 and 2011 for each listed country. Which
country had the smallest relative increase in annual income per person from 1990 to 2011? What was the smallest
relative increase?
Country _____________ had the smallest relative increase in annual income per person from 1990 to 2011. It
was about ____________%. (Round to the nearest tenth as needed.)

1990 2011
Country A $33,304 $41,451
Country B $23,036 $30,829
Country C $1,986 $7,656
Country D $893 $1,140

13. Employees at a certain company currently have to pay 3% of their health care costs, while the company pays the rest. Next year, however, employees will have to pay 6% of their health care costs. Express the change as an absolute change (in percentage points) and a relative change.
The absolute change is _______ percentage points.
The relative change is ________%.

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Solution Summary

The Word file contains all of the solutions. The solution is also available in text form. The Excel file contains all formulas used for the tables.

Solution Preview

1
Unemployment in January 2005 = 5.3%
Unemployment in December 2015 = 5.0%
(5.0% - 5.3%) / 5.3% * 100% =-5.66%

2
Unemployment in January 2015 = 5.7%
Unemployment in December 2015 = 5.0%
5.0% - 5.7% = -0.7%

3
Unemployment in January 2015 = 5.7%
Unemployment in December 2015 = 5.0%
(5.0% - 5.7%) / 5.7% * 100% = -12.28%

4
Unemployment in January 2008 = 5.0%
Unemployment in December 2008 = 7.3%
7.3% - 5.0% = ...

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  • MSc, California State Polytechnic University, Pomona
  • MBA, University of California, Riverside
  • BSc, California State Polytechnic University, Pomona
  • BSc, California State Polytechnic University, Pomona
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