find the average rate of change between the x = 0 and x = 7.

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 given by $\frac{f(b)-f(a)}{b - a}$. Here, $a = 0$, $b = 7$, $f(0)=4$ and $f(7)=- 115$.

Step2: Substitute values into formula

$\frac{f(7)-f(0)}{7 - 0}=\frac{-115 - 4}{7}$.

Step3: Simplify the expression

$\frac{-119}{7}=-17$.

Answer:

$-17$