2009 AMC 8 Problem 3

Attempt Problem 3 of the 2009 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 2009 AMC 8 solutions, or check the answer key.

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

3.

The graph shows the constant rate at which Suzanna rides her bike. If she rides a total of half an hour at the same speed, how many miles will she have ridden?
55
5.55.5
66
6.56.5
77
Answer: C
Concepts:ratedata and graph interpretation
Small hint:
Read one clear point from the graph.
Big hint:
If 1515 minutes gives 33 miles, then 3030 minutes is twice as long.
Solution:
From the graph, we can see that Suzanna rides 33 miles in 1515 minutes. This means that in 3030 minutes, she will have ridden 66 miles.
Thus, C is the correct answer.
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