Answer
$-0.099$
Work Step by Step
Step 1. Identify the needed data: $x_1=2006, f(x_1)=4.53$ and $x_2=2014, f(x_2)=3.74$
Step 2. Use the formula for the average rate of change: $m=\frac{f(x_2)-f(x_1)}{x_2-x_1}$, we have $m=\frac{3.74-4.53}{2014-2006}\approx-0.099$