the graph below shows the number of houses sold over x days. what is the average rate of change from day 2…
the graph below shows the number of houses sold over x days. what is the average rate of change from day 2 to day 10? house sales number of houses sold 12 10 (2,8) 8 f(x) 6 (6,6) (12,4) 4 2 (0,0) (10,2) 2 4 6 8 10 12 x number of days
Answer
Answer:
$-\frac{3}{4}$
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
$\frac{2 - 8}{10 - 2}=\frac{-6}{8}=-\frac{3}{4}$.