what is the average rate of change between x ...
what is the average rate of change between x = 50 and x = 80? f(x) = x² / 2.5 1560 -12.4 -124 52
Answer
# Explanation:
## Step1: Calculate f(50)
$f(50)=\frac{50^{2}}{2.5}=\frac{2500}{2.5} = 1000$
## Step2: Calculate f(80)
$f(80)=\frac{80^{2}}{2.5}=\frac{6400}{2.5}=2560$
## Step3: Use 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, $a = 50$, $b = 80$. So the average rate of change is $\frac{f(80)-f(50)}{80 - 50}=\frac{2560 - 1000}{30}=\frac{1560}{30}=52$
# Answer:
52