n the function defined in the table below, find the average r function over the interval 0 ≤ x ≤ 15. x f(x)…

n the function defined in the table below, find the average r function over the interval 0 ≤ x ≤ 15. x f(x) 0 46 15 43 30 40 45 37

n the function defined in the table below, find the average r function over the interval 0 ≤ x ≤ 15. x f(x) 0 46 15 43 30 40 45 37

Answer

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 given by $\frac{f(b)-f(a)}{b - a}$. Here, $a = 0$, $b = 15$, $f(0)=46$ and $f(15)=43$.

Step2: Substitute values into formula

$\frac{f(15)-f(0)}{15 - 0}=\frac{43 - 46}{15}$.

Step3: Simplify the expression

$\frac{43 - 46}{15}=\frac{-3}{15}=-\frac{1}{5}=- 0.2$.

Answer:

$-0.2$