use the graph to estimate the average rate of change of the percentage of new employees from 1994 to 2000…

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.\nwhat is the average rate of change of the percentage of new employees from 1994 to 2000?\n% per year\n(type an integer or a decimal rounded to two decimal places as needed.)\nwhat is the average rate of change of the percentage of new employees from 2000 to 2006?\n% per year\n(type an integer or a decimal rounded to two decimal places as needed.)\nwhat is the average rate of change of the percentage of new employees from 1994 to 2006?\n% per year\n(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.\nwhat is the average rate of change of the percentage of new employees from 1994 to 2000?\n% per year\n(type an integer or a decimal rounded to two decimal places as needed.)\nwhat is the average rate of change of the percentage of new employees from 2000 to 2006?\n% per year\n(type an integer or a decimal rounded to two decimal places as needed.)\nwhat is the average rate of change of the percentage of new employees from 1994 to 2006?\n% per year\n(type an integer or a decimal rounded to two decimal places as needed.)

Answer

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = f(x)$ over the interval $[x_1,x_2]$ is $\frac{f(x_2)-f(x_1)}{x_2 - x_1}$. Here, $x$ represents the year and $y$ represents the percentage of new employees.

Step2: Estimate values for 1994 - 2000

Let's assume from the graph that the percentage of new employees in 1994 ($x_1 = 1994$) is $y_1\approx0$ and in 2000 ($x_2 = 2000$) is $y_2\approx20$. Then the average rate of change from 1994 to 2000 is $\frac{y_2 - y_1}{x_2 - x_1}=\frac{20 - 0}{2000 - 1994}=\frac{20}{6}\approx3.33$.

Step3: Estimate values for 2000 - 2006

Suppose the percentage of new employees in 2000 ($x_1 = 2000$) is $y_1\approx20$ and in 2006 ($x_2 = 2006$) is $y_2\approx25$. Then the average rate of change from 2000 to 2006 is $\frac{y_2 - y_1}{x_2 - x_1}=\frac{25 - 20}{2006 - 2000}=\frac{5}{6}\approx0.83$.

Step4: Estimate values for 1994 - 2006

Assume the percentage of new employees in 1994 ($x_1 = 1994$) is $y_1\approx0$ and in 2006 ($x_2 = 2006$) is $y_2\approx25$. Then the average rate of change from 1994 to 2006 is $\frac{y_2 - y_1}{x_2 - x_1}=\frac{25 - 0}{2006 - 1994}=\frac{25}{12}\approx2.08$.

Answer:

What is the average rate of change of the percentage of new employees from 1994 to 2000? 3.33% per year What is the average rate of change of the percentage of new employees from 2000 to 2006? 0.83% per year What is the average rate of change of the percentage of new employees from 1994 to 2006? 2.08% per year