Find the average rate of change for the function over the given interval.
-$y=\frac{3}{x-2}$ between $x=4$ and $x=7$
A) 7
B) $\frac{1}{3}$
C) 2
D) $-\frac{3}{10}$

Question

Quizplus · Accepted Answer

The average rate of change is calculated as $\frac{f(7) - f(4)}{7 - 4}$. For $y=\frac{3}{x-2}$, $f(4) = \frac{3}{4-2} = \frac{3}{2}$ and $f(7) = \frac{3}{7-2} = \frac{3}{5}$. Thus, the average rate of change is $\frac{\frac{3}{5} - \frac{3}{2}}{3} = -\frac{3}{10}$.

Find the Average Rate of Change for the Function Over y=3x−2y=\frac{3}{x-2}y=x−23​

Find the Average Rate of Change for the Function Over $y=\frac{3}{x-2}$