Question

The table lists the population for a city.Name1990Sellersburg5,74520106,128a) Calculate the absolute change from 1990 to 2010. b) Write a sentence using the absolute change you found in part a to explain the meaning of the value.c) Calculate the relative change from 1990 to 2010. Write your answer as a percent rounded to thenearest hundredth. d) Write a sentence using the relative change you found in part c to compare the values.

Answer 1

The formula for absolute change is:

`New\text{ }value-old\text{ }value`

The formula for relative change is:

`\frac{New\text{ }value-old\text{ }value}{old\text{ }value}`

a.

The absolute change from 1990 to 2010 is:

`6,128-5,745=383`

b.

The absolute change of 383 simply means that there is an increase in the population of the city by 383 people from 1990 and 2010.

c.

The relative change from 1990 to 2010 is

`\begin{gathered} (6,128-5,745)/(5,745)=(383)/(5,745)=0.0667 \\ 0.0667*100\text{\%= 6.67\%} \end{gathered}`

d.

The relative change of 6.67% simply means that there is an increase in the population of the city by 6.67% from 1990 to 2010.