Question

given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 16 ≤ x ≤ 40.

x	f(x)
16	10
28	13
40	16
52	19
64	22

Explanation:

Step1: Identify interval values

From table: when $x=16$, $f(16)=10$; when $x=40$, $f(40)=16$.

Step2: Apply average rate formula

Formula: $\frac{f(b)-f(a)}{b-a}$ where $a=16,b=40$.
Calculate: $\frac{16-10}{40-16}=\frac{6}{24}$

Step3: Simplify the fraction

$\frac{6}{24}=\frac{1}{4}$

Answer:

$\frac{1}{4}$