2004 AMC 8 Problem 7

Attempt Problem 7 of the 2004 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 2004 AMC 8 solutions, or check the answer key.

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

7.

An athlete’s target heart rate, in beats per minute, is 80%80\% of the theoretical maximum heart rate. The maximum heart rate is found by subtracting the athlete’s age, in years, from 220.220. To the nearest whole number, what is the target heart rate of an athlete who is 2626 years old?
134134
155155
176176
194194
243243
Answer: B
Concepts:percentageestimation
Small hint:
First compute 220−26.220-26.
Big hint:
Take 80%80\% of that maximum heart rate and round.
Solution:
The maximum heart rate for this athlete would be 220−26=194.220 - 26 = 194. Then the target heart rate would be 194×0.8≈155.194 \times 0.8 \approx 155.
Thus, B is the correct answer.
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