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Difference between revisions of "2004 AMC 8 Problems/Problem 7"

(Created page with "== Problem == An athlete's target heart rate, in beats per minute, is <math>80\%</math> of the theoretical maximum heart rate. The maximum heart rate is found by subtracting the ...")
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Revision as of 00:48, 12 March 2012

Problem

An athlete's target heart rate, in beats per minute, is $80\%$ of the theoretical maximum heart rate. The maximum heart rate is found by subtracting the athlete's age, in years, from $220$. To the nearest whole number, what is the target heart rate of an athlete who is $26$ years old?

$\textbf{(A)}\ 134\qquad\textbf{(B)}\ 155\qquad\textbf{(C)}\ 176\qquad\textbf{(D)}\ 194\qquad\textbf{(E)}\ 243$

Solution

The maximum heart rate is $220-26=194$ beats per minute. The target heart rate is then $0.8*194 \approx 155$ beats per minute. $\boxed{\textbf{(B)}\ 155}$

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