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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 interval $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$

Step2: Identify values from the table

For $0 \leq x \leq 15$, $a=0$, $f(a)=9$, $b=15$, $f(b)=159$

Step3: Substitute values into formula

$\frac{159 - 9}{15 - 0} = \frac{150}{15}$

Step4: Simplify the fraction

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

Answer:

10