which functions have an additive rate of change of 3? select two options.

1. Recall the formula for the additive - rate of change (slope) of a linear function:
   • The slope (m) of a line passing through two points ((x_1,y_1)) and ((x_2,y_2)) is given by (m=\frac{y_2 - y_1}{x_2 - x_1}).
2. For the first graph:
   • Let's choose two points on the line. For example, if we take the points ((2,1)) and ((3,4)).
   • Calculate the slope (m=\frac{4 - 1}{3 - 2}=\frac{3}{1}=3).
3. For the second graph:
   • Let's choose two points on the line. Suppose we take the points ((1,6)) and ((2,9)).
   • Calculate the slope (m=\frac{9 - 6}{2 - 1}=\frac{3}{1}=3).

Since we don't have other options shown, assuming these are the only two - graph options available, the two functions (represented by the two graphs) have an additive rate of change of 3.

Answer:

The two functions represented by the given graphs.

Explanation:

Step1: Recall slope formula

(m = \frac{y_2 - y_1}{x_2 - x_1})

Step2: Calculate slope for first graph

Let ((x_1,y_1)=(2,1)) and ((x_2,y_2)=(3,4)), (m=\frac{4 - 1}{3 - 2}=3)

Step3: Calculate slope for second graph

Let ((x_1,y_1)=(1,6)) and ((x_2,y_2)=(2,9)), (m=\frac{9 - 6}{2 - 1}=3)