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 25x8525 \leq x \leq 85. \begin{tabular}{|c|c|} \hlinexx & f(x)f(x) \\ \hline 10 & 52 \\ \hline 25 & 43 \\ \hline 40 & 34 \\ \hline 55 & 25 \\ \hline 70 & 16 \\ \hline 85 & 7 \\ \hline \end{tabular}

Studdy Solution
Simplify the expression:
=3660= \frac{-36}{60}
Reduce the fraction to simplest form:
=35= \frac{-3}{5}
The average rate of change of the function over the interval 25x85 25 \leq x \leq 85 is:
35 \boxed{-\frac{3}{5}}

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