Question

Find the rate of change represented in each table or graph.

Short answer

The required rate of change is represented by 3.

Step-by-step solution

Step 1. Determine the formula that can be used.

The slope formula$m=\frac{y_2-y_1}{x_2-x_1}$ can be used to calculate the required rate of change.

Step 2. Take the help of the obtained method.

Take the help of formula for slope of a line represented by$m=\frac{y_2-y_1}{x_2-x_1}$in which the required values can be filled by using the provided points as the points are representing the value of $\left(x_1,y_1\right)\left(x_2,y_2\right)$in the form of $\left(1,3\right)\left(-2,-6\right)$.

$$\begin{gathered} m=\frac{-6-3}{-2-1} \\ =\frac{-9}{-3} \\ =3 \end{gathered}$$

Step 3. Write the conclusion.

The obtained slope is 3 so it is the required rate of change.