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given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval $0 \leq x \leq 15$.
answer attempt 1 out of 2

Explanation:

Step1: Recall average rate of change formula

The average rate of change of a function $f(x)$ over $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$.

Step2: Identify values from the table

For $a=0$, $f(a)=9$; for $b=15$, $f(b)=159$.

Step3: Substitute values into formula

$\frac{f(15)-f(0)}{15-0} = \frac{159-9}{15-0}$

Step4: Simplify the expression

$\frac{150}{15} = 10$

Answer:

10