Asked by bobo
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 spee
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Correct 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.
Reason: the graph is a straight line decreasing with time, which matches a constant-speed runner (remaining distance decreases linearly). The other situations produce non-linear or increasing-distance behavior.
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: the graph is a straight line decreasing with time, which matches a constant-speed runner (remaining distance decreases linearly). The other situations produce non-linear or increasing-distance behavior.
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