Question

(b) on 15, 24
the average rate of change of the function is $\frac{1}{3}$.
part 3 of 3
(c) on 24, 35
the average rate of change of the function is

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = f(x)$ on the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a = 24$ and $b = 35$. Since we assume the function has a constant rate of change (not given otherwise, and following the pattern from part (b)), and the formula for average rate of change is $\frac{\Delta y}{\Delta x}$.

Step2: Calculate the average rate of change

$\frac{\Delta y}{\Delta x}=\frac{1}{b - a}=\frac{1}{35 - 24}$
$=\frac{1}{11}$

Answer:

$\frac{1}{11}$