To determine whether Scenario B represents a function, we need to analyze the relationship between the input values (Heights) and the output values (Times). Specifically, for a set of ordered pairs to represent a function, each distinct height must map to a unique value for time.
Let's list out the height and time pairs given:
- (67, 52.34)
- (69, 55.76)
- (70, 54.6)
- (70, 53.11)
- (72, 54.03)
We need to determine if each height uniquely corresponds to one time value:
1. The height 67 has a corresponding time of 52.34.
2. The height 69 has a corresponding time of 55.76.
3. The height 70 has corresponding times of 54.6 and 53.11.
4. The height 72 has a corresponding time of 54.03.
Examining the pairs closely, we notice that the height 70 maps to two different time values, 54.6 and 53.11. This violates the definition of a function, which states that one input should map to only one output.
Therefore, since height 70 has more than one corresponding time, Scenario B does not represent a function.
Thus, the answer is that Scenario B does not represent a function. Therefore, in comparing Scenarios A and B, Scenario A would need to be evaluated separately to determine if it represents a function. However, based on the given information, Scenario B definitively does not represent a function.
