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

the average rate of change from x = 0 to x = 15 is about -4.667. how does the average rate of change from x = 0 to x = 20 compare to this number? the average rate of change from x = 0 to x = 20 is decreasing slower than the average rate of change from x = 0 to x = 15. complete suppose that the height of the slide is 2 feet, when x = 20. what is the average rate of change over the entire slide? done

the average rate of change from x = 0 to x = 15 is about -4.667. how does the average rate of change from x = 0 to x = 20 compare to this number? the average rate of change from x = 0 to x = 20 is decreasing slower than the average rate of change from x = 0 to x = 15. complete suppose that the height of the slide is 2 feet, when x = 20. what is the average rate of change over the entire slide? done

Answer

Answer:

$-3.9$

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$.

Step2: Identify the values of $a$, $b$, $f(a)$ and $f(b)$

Here, $a = 0$, $b = 20$, $f(0)=80$ (from the graph, when $x = 0$, height $y = 80$) and $f(20)=2$.

Step3: Calculate the average rate of change

Substitute the values into the formula: $\frac{f(20)-f(0)}{20 - 0}=\frac{2 - 80}{20}=\frac{-78}{20}=-3.9$.