look at the graph and the table of values below. calculate the average rate of change, to the nearest tenth…

Explanation:

Step1: Identify the formula for average rate of change

The formula for the average rate of change of a function $y = f(x)$ from $x_1$ to $x_2$ is $\frac{f(x_2)-f(x_1)}{x_2 - x_1}$. Here, $x$ is the year and $y$ is the debt. $x_1 = 1980$, $y_1=909.0$, $x_2 = 2010$, $y_2 = 14456.3$.

Step2: Substitute the values into the formula

$\frac{y_2 - y_1}{x_2 - x_1}=\frac{14456.3 - 909.0}{2010 - 1980}$ $=\frac{13547.3}{30}$

Step3: Calculate the result

$\frac{13547.3}{30}\approx451.6$

Answer:

$451.6$