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On a Coordinate plan cover 4 points that shows the distance covered by the biker in At 2/3 hour: Point A, At 2 hours: Point B, At 3 hours: Point C, At 3.5 hours: Point D

Which of the following statements correctly represents the relationship between time and distance covered by the biker?

A) As time increases, the distance covered by the biker decreases.
B) The distance covered by the biker remains constant at all time intervals.
C) The distance covered by the biker increases as time progresses.
D) There is no clear pattern between time and the distance covered by the biker.

User Entalpi
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1 Answer

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Final answer:

The distance covered by the biker increases as time progresses, despite periods of stopping and varying speeds, as seen by points A, B, C, and D on a graph.

Step-by-step explanation:

Based on the information provided, we can conclude that the relationship between time and distance covered by the biker is such that the distance increases as time progresses. Point A represents the distance covered at 2/3 hour, Point B at 2 hours, Point C at 3 hours, and Point D at 3.5 hours. Given the trajectory from A to B (uniform speed), then from B to C (stopped, no distance covered), and from C to D (slower speed), we can infer that overall, more distance is covered as time increases despite the variations in speed.

The correct statement representing the relationship between time and distance for the biker is: C) The distance covered by the biker increases as time progresses. Despite the fact that the biker stopped for a period of time and then proceeded at a slower pace, the total distance continued to increase. This can be seen in a graph of position versus time, which would show a slope representing the increasing distance as time goes on.

User Le Duy Khanh
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