Question

If x represents time, the average rate of change of the function f(x) in the first three seconds is ___. (graph below)

Answer 1

would it be -2

Answer 2

because it is going down 2

Answer 3

It's asking for the slope.

Just take any two points on the line and plug them in.

Let's use (0, 150) and (3, 0).

\(m = \dfrac{y_2-y_1}{x_2-x_1}\)

\(m = \dfrac{0-150}{3-0}\)

Subtract & Divide

Answer 4

What's 0 - 150?

Answer 5

-150

Answer 6

then 3 - 0 = 3

Answer 7

divide both sides by 3 to et -50/1 so it is -50?

Answer 8

Yep, you got it.