Answer:
The question is asking about the nature of the relationship depicted by an equation. To determine if it is a functional relationship, we need to consider if each input (x-value) corresponds to exactly one output (y-value).
Step-by-step explanation:
Let's look at an example equation to illustrate this concept:
In this equation, for every value of x that we input, we get a unique output value of y. For instance:
- When x = 1, y = 2(1) + 1 = 3
- When x = 2, y = 2(2) + 1 = 5
- When x = 3, y = 2(3) + 1 = 7
Since each x-value maps to only one y-value, this is an example of a functional relationship.
Now, let's consider the equation given in the content. If each x-value has multiple corresponding y-values, then it is not a functional relationship. However, if each x-value has only one corresponding y-value, then it is a functional relationship.
Based on the information provided in the content, the correct answer would be:
B. This is a functional relationship.
If you are unsure about how to determine if a relationship is functional or need further clarification, please let me know so we can explore the concept in more detail.