The graph below plots a function f (x):

graph of line segment going through ordered pairs 0,150 and 3, 0

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

Answer for Blank 1:

The average rate of change of a linear function is the slope of the line. Since we are given the following coordinates:

(0,150) and (3,0)

We can easily solve for the slope.

m = (y2 - y1) / (x2 - x1)

m = (0 - 150) / (3 - 0) = - 50

Therefore, the average rate of change of the function in the three seconds is - 50.