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What is the rate of change between the interval of x = 0 and x = pi over two?
graph below

2 over pi
pi over two
pi over four
four over pi

What is the rate of change between the interval of x 0 and x pi over two graph below 2 over pi pi over two pi over four four over pi class=

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nobillionaireNobley
The rate of change between the interval of x = 0 and x = π/2 is [f(π/2) - f(0)]/(π/2 - 0) = (5 - 3)/(π/2) = 2/(π/2) = 4/π

Answer:

The answer is [tex]\frac{4}{\pi }[/tex]

Step-by-step explanation:

Given the graph as shown, we have to find the rate of change between the interval of x=0 and [tex]\frac{\pi }{2}[/tex].

To find the rate of change we have to find the slope which is given by

[tex]Rate\thinspace of \thinspace change=slope=\frac{change\thinspace\thinspace in\thinspace\thinspace y\thinspace\thinspace coordinate}{change\thinspace\thinspace in \thinspace\thinspace x \thinspace\thinspace coordinate}[/tex]

                                      = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

                                      = [tex]\frac{5-3}{\frac{\pi }{2} }[/tex]

                                      = [tex]\frac{4}{\pi }[/tex]

   

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