a graph is drawn to represent a relationship between distance, d, and time, t. which situation could be…

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.

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.

Answer

Brief Explanations:

  1. Analyze the graph: It 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 by a non - constant factor (deceleration is not constant in most real - world cases), so it's not this option.
    • An airplane on a runway increasing speed has an increasing distance over time, not a decreasing one, so it's not this option.
    • A runner running at a constant speed in the final stretch has a remaining distance to the finish line that 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.