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

What is the average rate of change of the percentage of new employees from 1994 to 2000? Y% per year (Type an integer or a decimal rounded to two decimal places as needed.)
Transcript text: What is the average rate of change of the percentage of new employees from 1994 to 2000? $\square$ Y\% 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% and in 2000 is approximately 17%.

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 = (Percentage in 2000 - Percentage in 1994) / (2000 - 1994) Average rate of change = (17 - 0) / (2000 - 1994) Average rate of change = 17 / 6 Average rate of change ≈ 2.83

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

From the graph, the percentage of new employees in 2006 is approximately 20%.

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

Average rate of change = (Percentage in 2006 - Percentage in 2000) / (2006 - 2000) Average rate of change = (20 - 17) / (2006 - 2000) Average rate of change = 3 / 6 Average rate of change = 0.5

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

Average rate of change = (Percentage in 2006 - Percentage in 1994) / (2006 - 1994) Average rate of change = (20 - 0) / (2006 - 1994) Average rate of change = 20 / 12 Average rate of change ≈ 1.67

Final Answer

From 1994 to 2000: 2.83\boxed{2.83} % per year. From 2000 to 2006: 0.5% per year. From 1994 to 2006: 1.67% per year.

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