In general, an average rate of change of a function is a process that calculates the amount of change in one item divided by the corresponding amount of change in another. Using function notation, we can define the average rate of change of a function f from a to b as
[tex]A=\dfrac{f(b)-f(a)}{b-a}.[/tex]
1. The average rate of change in the number of living wage jobs from 1997 to 1999 is
[tex]A=\dfrac{745-635}{1999-1997}=\dfrac{110}{2}=55.[/tex]
2. The average rate of change in the number of living wage jobs from 1999 to 2001 is
[tex]A=\dfrac{800-745}{2001-1999}=\dfrac{55}{2}=27.5.[/tex]
The average rate of change in the number of living-wage jobs from 1997 to 1999 is 55.
The average rate of change in the number of living-wage jobs from 1999 to 2001 is 27.5.
Given
The following chart shows "living wage" jobs in Rochester per 1000 working-age adults over a 5 year period.
Year 1997 1998 1999 2000 2001
Jobs 635 695 745 780 800
The amount of change in one item is divided by the corresponding amount of change in another.
1. The average rate of change in the number of living-wage jobs from 1997 to 1999 is;
[tex]\rm Average \ rate=\dfrac{745-635}{1999-1997}\\\\Average \ rate=\dfrac{110}{2}\\\\Average \ rate=55[/tex]
The average rate of change in the number of living-wage jobs from 1997 to 1999 is 55.
2. The average rate of change in the number of living-wage jobs from 1999 to 2001 is;
[tex]\rm Average \ rate=\dfrac{800-745}{2001-1999}\\\\Average \ rate=\dfrac{55}{2}\\\\Average \ rate=27.5[/tex]
The average rate of change in the number of living-wage jobs from 1999 to 2001 is 27.5.
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