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

Asked by maham237 @ 18/12/2020 in Mathematics viewed by 349 People

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

Answered by maham237 @ 18/12/2020

Answer:

The answer is $\frac{4}{\pi }$

Step-by-step explanation:

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

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

$Rate\thinspace of \thinspace change=slope=\frac{change\thinspace\thinspace in\thinspace\thinspace y\thinspace\thinspace coordinate}{change\thinspace\thinspace in \thinspace\thinspace x \thinspace\thinspace coordinate}$

= $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

= $\frac{5-3}{\frac{\pi }{2} }$

= $\frac{4}{\pi }$

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