Answer:
9
Step-by-step explanation:
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given:
- f(x) = 9x
- interval: 0 ≤ x ≤ 8
Therefore:
Substitute the given values into the average rate of change formula:
[tex]\begin{aligned}\implies \dfrac{f(8)-f(0)}{8-0} & = \dfrac{9(8)-9(0)}{8-0}\\\\& = \dfrac{72-0}{8-0}\\\\& = \dfrac{72}{8}\\\\& = 9\end{aligned}[/tex]
Therefore, the average rate of change of the function f(x) over the interval 0 ≤ x ≤ 8 is 9.
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