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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

What is the rate of change from x = 0 to x =pi over 2 ? (6 points) trig graph with-example-1
User Dwhieb
by
8.5k points

2 Answers

2 votes
6 over pi

This is because after using the slope formula, you get 3/(pi/2), which when simplified is your answer
User Zamotic
by
8.0k points
7 votes

Answer:


(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.

User Jacob Mulquin
by
9.2k points

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