let s(x) give the total snowfall, in inches, x hours from the start of the snowstorm. which expression can…

let s(x) give the total snowfall, in inches, x hours from the start of the snowstorm. which expression can be used to find the average rate at which snow fell between 2 and 5 hours after the start of the snowstorm? (s(5) - s(2))/3 (s(2) + s(5))/3 (s(5) + s(2))/3 (s(2) - s(5))/3
Answer
Explanation:
Step1: Recall average - rate formula
The average rate of a function $y = f(x)$ over the interval $[a,b]$ is given by $\frac{f(b)-f(a)}{b - a}$.
Step2: Identify values of $a$, $b$, and $f(x)$
Here, $f(x)=s(x)$, $a = 2$, $b = 5$. Then $b - a=5 - 2=3$, and the average rate of the snow - fall function $s(x)$ over the interval $[2,5]$ is $\frac{s(5)-s(2)}{5 - 2}=\frac{s(5)-s(2)}{3}$.
Answer:
$\frac{s(5)-s(2)}{3}$ (the blue - colored option)