Math  /  Data & Statistics

QuestionGiven the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 3x53 \leq x \leq 5. \begin{tabular}{|c|c|} \hlinexx & f(x)f(x) \\ \hline 3 & 15 \\ \hline 4 & 11 \\ \hline 5 & 9 \\ \hline 6 & 9 \\ \hline \end{tabular}

Studdy Solution
Compute the average rate of change:
Average Rate of Change=ΔfΔx=62=3 \text{Average Rate of Change} = \frac{\Delta f}{\Delta x} = \frac{-6}{2} = -3
The average rate of change over the interval 3x53 \leq x \leq 5 is:
3 \boxed{-3}

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