To determine whether the ordered pairs (x, y) form a function, we need to check the definition of a function: for every input (x), there must be exactly one output (y).
Since I don't have access to the specific data you mentioned, I'll provide guidance on how to analyze it:
- Identify the x-values (in this case, ages).
- Check if any x-value is associated with more than one y-value (in this case, shoe sizes).
- If any x-value corresponds to more than one y-value, then the relation does not represent a function.
- If every x-value corresponds to only one y-value, then the relation represents a function.
Based on this reasoning:
- If you find that some x-values (ages) have multiple corresponding y-values (shoe sizes), the correct answer would be D: "No, because for some x's there are more than one y's."
- If each x-value has only one y-value, the correct answer would be B: "Yes, because for every x there is only one y."
Please analyze your data according to these criteria to choose the appropriate option.