Answer
The average rate of change in the interval $[0, 4]$ is $0$.
The number of hurricanes named each year is 10.
Work Step by Step
The graph is from $x=0$ to $x=4$ so the interval is $[0, 4]$.
RECALL:
The average rate of change in the interval $[a, b]$ is given by the formula:
average rate of change = $\dfrac{f(b)-f(a)}{b-a}$
The given graph has $f(0) = 3$ and $f(4) = 3$.
Thus, the average rate of change in the interval $[0, 4]$ is:
$=\dfrac{f(4)-f(0)}{4-0}
\\=\dfrac{3-3}{4}
\\=\dfrac{0}{4}
\\=0$
Therefore, the number of hurricanes named each year is 10.
