Calculate the average rate of change of the given function over the interval $[ 7,8 ]$ . $f ( x ) = \frac { 168 } { x }$
A)-24
B) 3
C) -3
D) 168
E) -21

Question

Calculate the average rate of change of the given function over the interval $[ 7,8 ]$ .   $f ( x ) = \frac { 168 } { x }$  
A)-24
B) 3
C) -3
D) 168
E) -21

Quizplus · Accepted Answer

The average rate of change of a function $f(x)$ over an interval $[a, b]$ is given by $\frac{f(b) - f(a)}{b - a}$. For $f(x) = \frac{168}{x}$, calculate $f(8) = \frac{168}{8} = 21$ and $f(7) = \frac{168}{7} = 24$. The average rate of change is $\frac{21 - 24}{8 - 7} = -3$.

Calculate the Average Rate of Change of the Given Function [7,8][ 7,8 ][7,8]

Calculate the Average Rate of Change of the Given Function $[ 7,8 ]$