Question

of the function over the interval $1 \leq x \leq 4$
$\

$$\begin{array}{|c|c|}\\hline x & f(x) \\\\ \\hline 1 & 20 \\\\ \\hline 4 & 29 \\\\ \\hline 7 & 38 \\\\ \\hline 10 & 47 \\\\ \\hline \\end{array}$$

$
answer attempt 1 out of 2

Explanation:

Step1: Identify interval values

For $1 \leq x \leq 4$, $x_1=1, f(x_1)=20$; $x_2=4, f(x_2)=29$.

Step2: Apply average rate formula

Average rate = $\frac{f(x_2)-f(x_1)}{x_2-x_1}$
$\frac{29-20}{4-1} = \frac{9}{3} = 3$

Answer:

3