Question

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

Answer 1

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

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

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

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

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

   

Answer 2

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