Question

Use the graph below to answer the question that follows:

What is the rate of change between the interval x = 0 and x = π?

A. -pi/4

B. -4/pi

C. -pi/6

D. -6/pi

Answer 1

Answer:

$\boxed{-\frac{6}{\pi}}$

Step-by-step explanation:

The average rate of change over a interval is the slope m of the straight line joining the two points.

$m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }\\\\= \frac{-1 - 5}{ \pi - 0}\\\\= -\frac{ 6}{\pi }$

The average rate of change is $\boxed{-\frac{6}{\pi}}.$