Short Answer 
The additive rate of change indicates a constant difference in output values for consecutive input values, defining a linear relationship. In the analysis of the provided graph and table, both show a consistent difference of 3 in y-values and 1 in x-values, confirming the presence of a linear function.
Step 1: Understand Additive Rate of Change
The concept of an additive rate of change refers to the situation where a function shows a constant difference between consecutive input and output values. This means that as you progress through your input values (x-values), the output values (y-values) will increase or decrease by a fixed amount. This consistency is what defines a linear relationship in the context of functions.
Step 2: Analyze the Graph and Table
When examining both the first graph and the second table, it’s crucial to look for the differences in the y-values and x-values. In this case, there is a constant difference of 3 among the y-values and a constant difference of 1 among the x-values. This means no matter which consecutive values you choose, the output rises by 3 for every input increase of 1.
Step 3: Recognize the Pattern
To solidify your understanding, recognize that this pattern demonstrates a linear function. In linear functions, such patterns are evident through graphical representations or numeric tables. As a summary, look for:
- Constant y-value difference (3 in this case).
- Constant x-value difference (1 here).
- Consistency across all pairs of values indicates a linear relationship.