To determine which scatterplot correctly represents the data from the provided table of times for runners by age, we need to identify the corresponding coordinates from the table:
- Age 24 corresponds to Time 32.75
- Age 29 corresponds to Time 33.63
- Age 34 corresponds to Time 34.84
- Age 39 corresponds to Time 35.33
- Age 44 corresponds to Time 35.23
- Age 49 corresponds to Time 36.16
Now, let's consider the appropriate scatterplot options provided:
-
First Option:
- Data points: (22, 32.5), (32, 33.5), (34, 34.5), (42, 35), (44, 35), (49, 36)
- Does not match.
-
Second Option:
- Data points: (33, 24), (34, 29), (35, 34), (35, 39), (35, 44), (36, 49)
- Does not match.
-
Third Option:
- Data points: (24, 33), (29, 33.5), (34, 35), (39, 35.5), (44, 35.5), (49, 36)
- Does not match.
-
Fourth Option:
- Data points: (33, 23), (32, 33.5), (34.5, 34.5), (35.5, 42), (44, 35), (49, 36)
- Does not match.
Based on the comparison, it looks like none of the provided options reflect the actual data points derived from the table.
However, if we were to reconstruct the correct points based on the ages and their corresponding times as derived from the table:
- (24, 32.75)
- (29, 33.63)
- (34, 34.84)
- (39, 35.33)
- (44, 35.23)
- (49, 36.16)
The expected scatterplot would show the points closely around the values specified above.
Therefore, please reconfirm if there might be an error with the options presented, as they don't appear to represent the original data accurately.