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

Explanation:

Step1: Recall average rate - of - change formula

The average rate of change formula is $\frac{f(b)-f(a)}{b - a}$, where $a$ and $b$ are the starting and ending years, and $f(a)$ and $f(b)$ are the corresponding percentage values of new employees.

Step2: Estimate values for 1994 - 2000

Let's assume from the graph that the percentage of new employees in 1994 ($a = 1994$), $f(1994)\approx5$ and in 2000 ($b = 2000$), $f(2000)\approx18$. Then the average rate of change from 1994 to 2000 is $\frac{f(2000)-f(1994)}{2000 - 1994}=\frac{18 - 5}{6}=\frac{13}{6}\approx2.17$.

Step3: Estimate values for 2000 - 2006

Assume that in 2000 ($a = 2000$), $f(2000)\approx18$ and in 2006 ($b = 2006$), $f(2006)\approx16$. Then the average rate of change from 2000 to 2006 is $\frac{f(2006)-f(2000)}{2006 - 2000}=\frac{16 - 18}{6}=-\frac{2}{6}\approx - 0.33$.

Step4: Estimate values for 1994 - 2006

Assume that in 1994 ($a = 1994$), $f(1994)\approx5$ and in 2006 ($b = 2006$), $f(2006)\approx16$. Then the average rate of change from 1994 to 2006 is $\frac{f(2006)-f(1994)}{2006 - 1994}=\frac{16 - 5}{12}=\frac{11}{12}\approx0.92$.

Answer:

2.17 -0.33 0.92