use the graph to answer the question. what is the average rate of change from x = 0 to x = 18…

Answer:

$-\frac{5}{18}$

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = f(x)$ from $x = a$ to $x = b$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a = 0$, $b = 18$.

Step2: Determine $f(0)$ and $f(18)$ from the graph

From the graph, when $x = 0$, $y=f(0)=10$. When $x = 18$, $y=f(18)=5$.

Step3: Calculate the average rate of change

Substitute into the formula: $\frac{f(18)-f(0)}{18 - 0}=\frac{5 - 10}{18}=\frac{- 5}{18}=-\frac{5}{18}$.