Question

find and interpret the average rate of change illustrated in the following graph.
the average rate of change is 0 % per year.
(type an integer or a simplified fraction.)
interpret the average rate of change.
a. the percent of pay raise is decreasing % each year during these years.
b. the percent of pay raise is increasing % each year during these years.
c. the percent of pay raise is constant during these years.
graph: x-axis (year) from 0 to 4, y-axis (percent of pay raise) from 0 to 20. a horizontal line at y=5, with points at (0,5), (1,5), (2,5), (3,5), (4,5).

Explanation:

The average rate of change formula is \(\frac{\Delta y}{\Delta x}=\frac{y_2 - y_1}{x_2 - x_1}\). Let's take two points \((x_1,y_1)=(0,5)\) and \((x_2,y_2)=(4,5)\). Then \(\frac{y_2 - y_1}{x_2 - x_1}=\frac{5 - 5}{4 - 0}=0\). A zero average rate of change means the value of \(y\) (percent of pay raise) does not change as \(x\) (year) changes.

Answer:

C. The percent of pay raise is constant during these years.