Question

Find and interpret the average rate of change illustrated in the following graph​

Answer 1

Explanation:

Average rate of change is the same thing as the slope. Ours here is negative. Our rate of change then goes down $5000 per year, so it is -5 per year. That means that the value of the machine decreases $5000 for every year that goes by.

Answer 2

The correct option is B:

The average rate of change is -$5 per year.

Let's find the average rate of change:

For a linear graph like this one, to find the rate of change we need to find two points in the line (x₁, y₁) and (x₂, y₂), the rate is given by:

r = (y₂ - y₁)/(x₂ - x₁)

We can see the two points (1, 20) and (2, 15), then:

r = (15 - 20)/(2 - 1)

r = -5

The average rate of change is -$5 per year.