Darrell tracked the number of employees in his company over a six-year period. In the graph, x represents years since 2006 and y represents the number of employees. The coordinates for one data point, P, are shown.
Find the average rate of change in the number of employees per year by using the data for year 0 and year 6. Round your answer to the
nearest tenth


To find the average rate of change in the number of employees over a period of time, we use the formula for the slope of a line:

\[
\text{Average rate of change} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Where:
- \((x_1, y_1)\) is the coordinate for the number of employees at the beginning of the period (in this case, year 0, which corresponds to 2006).
- \((x_2, y_2)\) is the coordinate for the number of employees at the end of the period (in this case, year 6).

If you provide the values of \(y_1\) and \(y_2\) (the number of employees in year 0 and year 6), I can calculate the average rate of change for you.

Feel free to share the coordinates of point \(P\) or clarify if they are already known!

Would you like more details on the process? 

### Related Questions:
1. What does the average rate of change represent in a real-world context?
2. How do you interpret a negative average rate of change?
3. How can you graph the line representing the rate of change?
4. What would happen if we calculated the rate of change over a shorter period of time?
5. How can you predict future trends from this data?

### Tip:
When finding the average rate of change, make sure to correctly match the x and y coordinates to avoid confusion.

Darrell tracked the number of employees in his company over a six-year period. In the graph, x represents years since 2006 and y represents the number of employees. The coordinates for one data point, P, are shown. Find the average rate of change in the number of employees per year by using the data for year 0 and year 6. Round your answer to the nearest tenth.

Learn how to find the average rate of change in the number of employees in Darrell's company over a six-year period using the slope formula. This problem involves calculating the rate of change between two points (year 0 and year 6). Suitable for students in Grades 7-10.

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