Rates of Change and Behavior of Graphs · Exercise 2

Find the slope of a line and the average rate of change.

The following table shows the number of Associates degrees awarded (in thousands) in the US for several years.

$$\begin{array}{cc}\text{Year}& \text{Number of Associate’s Degrees Earned (in thousands)}\\ \text{2000}& \text{569}\\ \text{2001}& \text{579}\\ \text{2005}& \text{668}\\ \text{2010}& \text{719}\\ \text{2014}& \text{1,003}\end{array}$$
Find the following average rates of change, being careful to attach units to your answers.
ⓐ Between 2005 and 2000. Average rate of change= $\frac{f\left(x_2\right)-f\left(x_1\right)}{x_2-x_1}$
ⓑ Between 2001 and 2010. Average rate of change= $\frac{f\left(x_2\right)-f\left(x_1\right)}{x_2-x_1}$
ⓒ Between 2014 and 2010. Average rate of change= $\frac{f\left(x_2\right)-f\left(x_1\right)}{x_2-x_1}$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §3.3 Rates of Change and Behavior of Graphs · Exercise 2