Question

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

Answer 1

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 2

The answer is
`(4)/(\pi )`

Explanation:

Given the graph as shown, we have to find the rate of change between the interval of x=0 and
`(\pi )/(2)`.

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

`Rate\thinspace of \thinspace change=slope=(change\thinspace\thinspace in\thinspace\thinspace y\thinspace\thinspace coordinate)/(change\thinspace\thinspace in \thinspace\thinspace x \thinspace\thinspace coordinate)`

=
`(y_(2)-y_(1))/(x_(2)-x_(1))`

=
`(5-3)/((\pi )/(2) )`

=
`(4)/(\pi )`