Question

find and interpret the average rate of change illustrated in the following graph.
the average rate of change is \\(\square\\)% per year.
(type an integer or a simplified fraction.)

Explanation:

Step1: Recall the formula for average rate of change

The formula for the average rate of change of a function \(y = f(x)\) over the interval \([x_1,x_2]\) is \(\frac{f(x_2)-f(x_1)}{x_2 - x_1}\).

Step2: Identify two points on the graph

Let's take two points \((x_1,y_1)=(0,5)\) and \((x_2,y_2)=(4,5)\)

Step3: Substitute the values into the formula

$$
LATEXBLOCK0
$$

Answer:

\(0\)

Interpretation: The percent of pay raise does not change over the years. The value of the percent of pay raise remains constant at \(5\%\) each year, so the rate at which it changes (the average rate of change) is \(0\%\) per year.