the graph below shows the number of houses sold over x days. what is the average rate of change from day 2…

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, $a = 2$, $b = 10$, $f(2)=8$ and $f(10)=2$.

Step2: Substitute values into formula

$\frac{f(10)-f(2)}{10 - 2}=\frac{2 - 8}{10 - 2}$.

Step3: Simplify the expression

$\frac{2 - 8}{10 - 2}=\frac{-6}{8}=-\frac{3}{4}$.

Answer:

$-\frac{3}{4}$