2005 AMC 8 Problem 17

Attempt Problem 17 of the 2005 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2005 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

17.

The results of a cross-country team’s training run are graphed below. Which student has the greatest average speed?
Angela\text{Angela}
Briana\text{Briana}
Carla\text{Carla}
Debra\text{Debra}
Evelyn\text{Evelyn}
Answer: E
Concepts:data and graph interpretationslope
Small hint:
Average speed is distance divided by time.
Big hint:
On the graph, compare slopes from the origin.
Solution:
Average speed is distance over time, which is given by the slope of the line through the point and the origin.
Evelyn has the steepest slope, telling us that she had the greatest average speed.
Thus, E is the correct answer.
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