Use the graph below to answer the question that follows:
what is the average rate of change between the interval of x = 0 and x = pi/2?
a) 2/pi
b) pi/2
c) pi/4
d) 4/pi

the correct answer is option D.

Step-by-step explanation:

average rate of change in the graph in interval x = 0 and x = pi/2

when we look into the graph between interval x = 0 and x = pi/2

we can see that on y - axis  

at  x = 0                value of   y = 3   and

at  x = π/2             value of   y = 5  

rate of change =

                        =

                        =

                        = 4/π

hence, the correct answer comes out to be 4/π

hence, the correct answer is option D.