To estimate when the two divers are at the same depth, we need to look for the point where their heights (y-values) are the same. Based on the options given:
- (3.67, −7)
- (3, −6)
- (3.5, −6.5)
- (3.5, 6.5)
The point that indicates both divers being at the same depth should have the same y-coordinate (height) for both divers. The points (3.67, −7), (3, −6), and (3.5, −6.5) all have negative y-values, which suggests depths beneath the surface. However, (3.5, 6.5) represents a positive height, indicating a position above the pool edge, and thus does not approximate them being at the same depth.
Among the options given, (3.5, −6.5) is the most reasonable estimate, indicating a common depth of -6.5 feet at around 3.5 minutes after the buzzer.
Therefore, the best estimate is (3.5, −6.5).