Answer
1
Work Step by Step
The definition of average rate of change is
$\frac{R(θ2) - R(θ1)}{θ2-θ1}$.
R(θ) = $\sqrt 4θ +1$
Interval = [0, 2]
$\frac{R(2) - R(0)}{2-0}$
R(2) = $\sqrt 4.2 +1$ = $\sqrt 9$ = 3
R(0) = $\sqrt 4.0 +1$ = $\sqrt 1$ = 1
$\frac{3 - 1}{2-0}$ = 1