Question

part 2 of 3
(b) on 15, 24
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 given by $\frac{f(b)-f(a)}{b - a}$. Here, $a = 15$ and $b = 24$. But since the function is not given, assume the function is $y=f(x)$. The average rate of change formula for the interval $[15,24]$ is $\frac{f(24)-f(15)}{24 - 15}$.

Step2: Simplify the denominator

$24-15=9$. So the average rate of change is $\frac{f(24)-f(15)}{9}$. Without knowing the function $f(x)$, we can't calculate a numerical value. If we assume the function values $f(24)=m$ and $f(15)=n$, the average rate of change is $\frac{m - n}{9}$.

Answer:

$\frac{f(24)-f(15)}{9}$