Use the image to answer the question.

Question

Two intersecting lines are graphed across a coordinate plane.

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?

(1 point)
Responses

(3.67, −7)
left parenthesis 3.67 comma negative 7 right parenthesis

(3.5, −6.5)
left parenthesis 3.5 comma negative 6.5 right parenthesis

(3, −6)
left parenthesis 3 comma negative 6 right parenthesis

(3.5, 6.5)

Answer 1

To determine which point can be used to best estimate the time when the divers are at the same depth, we need to look for a point where the x-coordinate (representing time) is the same for both students and the y-coordinate (representing depth) is equal for both (indicating the same depth).

From the options given:

• (3.67, -7)
• (3.5, -6.5)
• (3, -6)
• (3.5, 6.5)

The point (3.5, -6.5) shows that at 3.5 minutes after the buzzer, both divers are at a depth of -6.5 feet. Since we're looking for when both divers are at the same depth, this point is most relevant.

Therefore, the best estimate for the time when the divers are at the same depth is:

(3.5, -6.5)