the average rate of change from x = 0 to x = 15 is about -4.667. how does the average rate of change from x…

Answer:

faster than

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 $\frac{f(b)-f(a)}{b - a}$.

Step2: Analyze the graph

From the graph, when going from $x = 0$ to $x=15$, the average rate of change is about $- 4.667$. When going from $x = 0$ to $x = 20$, the function drops from $y(0)=80$ to $y(20)=0$. The average rate of change from $x = 0$ to $x = 20$ is $\frac{0 - 80}{20-0}=\frac{-80}{20}=-4$. Since $|-4|>|-4.667|$, the magnitude of the average rate of change from $x = 0$ to $x = 20$ is larger (in magnitude), which means the function is decreasing faster from $x = 0$ to $x = 20$ compared to from $x = 0$ to $x = 15$.