QuestionCalculate the average rate of change of the function $k(x)=-16 \sqrt{x}$ from $x=12$ to $x=15$.

Studdy Solution
Divide $16$ by $3$ to get the final expression for the average rate of change$$\text{Average rate of change} =16/3(-\sqrt{15} + \sqrt{12})$$So, the average rate of change of $k(x)=-16 \sqrt{x}$ over the interval $[12,15]$ is $16/3(-\sqrt{15} + \sqrt{12})$.