given the function defined in the table below, find the average rate of change, in simplest form, of the…

given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 10 ≤ x ≤ 15.\nanswer attempt 1 out of 2

given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 10 ≤ x ≤ 15.\nanswer attempt 1 out of 2

Answer

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a = 10$, $b = 15$, $f(a)=f(10) = 47$, and $f(b)=f(15)=46$.

Step2: Substitute values into formula

$\frac{f(15)-f(10)}{15 - 10}=\frac{46 - 47}{15 - 10}$.

Step3: Simplify the expression

$\frac{46 - 47}{15 - 10}=\frac{-1}{5}=-\frac{1}{5}$.

Answer:

$-\frac{1}{5}$