Question

The graph models the swimming paths of two students, where x represents the time after a buzzer sounds and y represents height from the pool edge. One student dived into the pool from the edge of the pool 3 minutes before the buzzer went off. The second student dived into the pool from a board 4 feet above the ground right when the buzzer went off. Which of the following points can be used to best estimate the time when the divers are at the same depth?

Answer 1

To determine the point at which the two divers are at the same depth, we need to analyze their swimming paths based on the descriptions provided.

1. First Student (diving from pool edge): This student dives in 3 minutes before the buzzer, meaning their swimming path starts 3 minutes before time \(x = 0\). Their depth changes as they swim, likely starting at the height of the pool edge (which we can assume to be \(y = 0\) at the start, or at time \(x = -3\)).

2. Second Student (diving from a board): This student dives right when the buzzer goes off at time \(x = 0\), and their starting height is 4 feet above the pool edge. This means they start at \(y = 4\) when \(x = 0\).

To find the point where both students are at the same depth, we look for the values of \(x\) (time in minutes after the buzzer) and \(y\) (depth in feet) such that both paths intersect at a specific point on the graph.

• Typically, a graph showing height vs. time will indicate their movements; we would be looking for points where the \(y\) values equal each other for different \(x\) values.

To summarize, the exact point will depend on the specific paths shown on the graph you referenced. However, generally, we would be looking for a point where both students' heights are equal at the same or different times after the buzzer.

If you provide specific coordinates or a specific graph with the values of \(x\) and \(y\) at various times, I can help you more accurately identify the point where they are at the same depth.