Question

What is the rate of change from x = 0 to x =pi over 2 ? (6 points)

trig graph with points at 0, 0 and pi over 2, 3 and pi, 0 and 3 pi over 2, negative 3 and 2 pi, 0



negative 6 over pi
6 over pi
pi over 6
negative pi over 6

Answer 1

6 over pi

This is because after using the slope formula, you get 3/(pi/2), which when simplified is your answer

Answer 2

`(6)/(\pi)`.

Step-by-step explanation:

We have been given the graph of sine function and we are asked to find the rate of change from
`x=0` to
`x=(\pi)/(2)`.

We will use slope formula to find the rate of change for our given values.

`\text{Slope}=(y_2-y_1)/(x_2-x_1)`

We can see from our graph that at x equals 0, y is 0 and at x equals
`(\pi)/(2)`, y is 3.

Upon substituting these values in slope formula we will get,

`\text{Slope}=(3-0)/((\pi)/(2)-0)`

`\text{Slope}=(3)/((\pi)/(2))`

Since dividing a number by a fraction is same as multiplying the number by reciprocal of fraction.

`\text{Slope}=3*(2)/(\pi)`

`\text{Slope}=(6)/(\pi)`

Therefore, the rate of change from
`x=0` to
`x=(\pi)/(2)` is
`(6)/(\pi)` and option B is the correct choice.