If x represents time, the average rate of change

Ответ:

khollier3119

13.01.2022

Answer

If x represents time, the average rate of change of the function f(x) in the first three seconds is -50.

Explanation

The average rate of change of a linear function is the slope of the liner function. To find the slope of our linear function, we are using the slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

where

is the slope of the line

$(x_{1},y_{1})$ are the coordinates of the first point on the line

$(x_{2},y_{2})$ are the coordinates of the second point

From our graph we can get the points (0, 150) and (3, 0), so $x_{1}=0$ , $y_{1}=150$ , $x_{2}=3$ , and $y_{2}=0$ . Let's replace the values in our formula to find the slope of our linear function: