Question

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

Explanation:

1. Analyze the graph: The graph shows a decreasing - linear relationship between distance \(d\) and time \(t\).
2. Evaluate each option:

• For a falling object, the distance above the ground decreases non - linearly as the speed increases over time (due to gravity), so it's not this option.
• When a brake is applied, the speed decreases non - linearly (usually following a non - linear deceleration model), so it's not this option.
• For an airplane on a runway increasing speed for takeoff, the distance traveled increases over time, not decreases, so it's not this option.
• For a runner at a constant speed in the final stretch, the remaining distance to the finish line decreases linearly with time.

Answer:

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.