Question

A graph is drawn to represent a relationship between distance, d, and time, t.

A graph with both axes unnumbered. A line decreases from the left to the right.

Which situation could be represented on the graph?

Each point shows the distance, in feet, above the ground of a falling object after t seconds, where the falling speed increases as time increases.
Each point shows the distance, in feet, covered t seconds after a brake is applied, where the speed of the car decreases by a constant factor.
Each point shows the distance, in feet, traveled by an airplane on a runway by gradually increasing speed t seconds after being approved for takeoff.
Each point shows the remaining distance, in feet, to the finish line of a race t seconds after a runner begins the final stretch and runs at a constant speed.

Answer 1

Each point shows the remaining distance, in feet, to the finish line of a race t seconds after a runner begins the final stretch and runs at a constant speed.

Reason: a straight line sloping downward means distance decreases at a constant rate (constant speed). The other scenarios involve accelerating or increasing distance, which would not produce a straight, decreasing line.