Question

given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval $10 \leq x \leq 15$.\
\

$x$	$f(x)$	\
---	---	\
5	13	\
10	17	\
15	21	\
20	25

Explanation:

Step1: Recall average rate formula

The average rate of change of a function $f(x)$ over $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$.

Step2: Identify values from table

For $a=10$, $f(a)=17$; for $b=15$, $f(b)=21$.

Step3: Substitute into formula

$\frac{f(15)-f(10)}{15-10} = \frac{21-17}{15-10}$

Step4: Calculate the result

$\frac{4}{5}$

Answer:

$\frac{4}{5}$