Use the graph below to answer the question that follows: graph of the curve that passes through the following points, 0, 3; pi over 2, 5; pi, 3; 3 pi over 2, 1; 2 pi, 3. What is the rate of change between the interval of x = 0 and x = pi over two? 2 over pi pi over two pi over four four over pi

Respuesta :

x1=0, y1=3
x2=pi/2, y2=5

rate of change = (y2-y1)/(x2-x1)
=(5-3)/(pi/2-0)
=4/pi

ans is D. four over pi

The rate of change is 4/π which is the correct answer would be option (D)

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is the slope of the line?

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

The coordinates of the endpoints of the range can be used to determine the rate of change using the slope formula: m = dy / dx.

The coordinates are

x₁=0, y₁=3

x₂=π/2, y₂=5

So rate of change = (y₂ - y₁)/(x₂ -x₁ )

Rate of change = (5-3)/(π/2-0)

Rate of change = 4/π

Learn more about the Rate of change here:

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