Questions: Use the graph to estimate the average rate of change of the percentage of new employees from 1994 to 2000, from 2000 to 2006, and from 1994 to 2006. What is the average rate of change of the percentage of new employees from 1994 to 2000? % per year (Type an integer or a decimal rounded to two decimal places as needed.)

Use the graph to estimate the average rate of change of the percentage of new employees from 1994 to 2000, from 2000 to 2006, and from 1994 to 2006. What is the average rate of change of the percentage of new employees from 1994 to 2000? % per year (Type an integer or a decimal rounded to two decimal places as needed.)
Transcript text: Use the graph to estimate the average rate of change of the percentage of new employees from 1994 to 2000, from 2000 to 2006, and from 1994 to 2006. What is the average rate of change of the percentage of new employees from 1994 to 2000? $\square$ \% per year (Type an integer or a decimal rounded to two decimal places as needed.)
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Solution

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Solution Steps

Step 1: Find the percentage of new employees in 1994 and 2000.

From the graph, the percentage of new employees in 1994 is approximately 0%. The percentage of new employees in 2000 is approximately 18%.

Step 2: Calculate the average rate of change from 1994 to 2000.

The average rate of change is given by the change in percentage divided by the change in years.

Average rate of change \( = \frac{18 - 0}{2000 - 1994} = \frac{18}{6} = 3 \)

Step 3: Find the percentage of new employees in 2006.

From the graph, the percentage of new employees in 2006 is approximately 30%.

Step 4: Calculate the average rate of change from 2000 to 2006.

Average rate of change \( = \frac{30 - 18}{2006 - 2000} = \frac{12}{6} = 2 \)

Step 5: Calculate the average rate of change from 1994 to 2006.

Average rate of change \( = \frac{30 - 0}{2006 - 1994} = \frac{30}{12} = 2.5 \)

Final Answer

The average rate of change of the percentage of new employees from 1994 to 2000 is \\(\boxed{3}\\)% per year. The average rate of change of the percentage of new employees from 2000 to 2006 is 2% per year. The average rate of change of the percentage of new employees from 1994 to 2006 is 2.5% per year.

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