Question

What is the rate of change from x = 0 to x = pi over 2?

Answer 1

(3-0) / (pi2 - 0)


= 6/pi

Answer 2

`(6)/(\pi)`

Explanation:

Rate of change is the change in y divided by change is x

• y changes from 0 to 3
• x changes from 0 to
  `(\pi)/(2)`

** Change in y =
`3-0\\=3`

** Change in x =
`(\pi)/(2)-0\\=(\pi)/(2)`

Thus rate of change =
`(3)/((\pi)/(2))\\=3*(2)/(\pi)\\=(6)/(\pi)`

Last answer choice is right.