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To determine her resting heart rate, an athlete counts her pulse for 10 seconds. She counts 9 beats in 10 seconds. What is her resting heart rate in beats per minute
(bpm) ?

To determine her resting heart rate, an athlete counts her pulse for $10$ seconds. She counts $9$ beats in $10$ seconds. What is her resting heart rate in beats per minute (bpm)?

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Calculate unit rates with fractions

Full solution

Q. To determine her resting heart rate, an athlete counts her pulse for

10

seconds. She counts

9

beats in

10

seconds. What is her resting heart rate in beats per minute (bpm)?

Step $1$ : Determine the time frame: To find the resting heart rate in beats per minute, we need to know how many beats occur in one minute. Since the athlete counts her pulse for $10$ seconds, we need to scale this up to a minute, which is $60$ seconds.
Step $2$ : Calculate the beats in $60$ seconds: The athlete counts $9$ beats in $10$ seconds. To find out how many beats would occur in $60$ seconds, we multiply the number of beats by $6$ , because $60$ seconds is $6$ times longer than $10$ seconds. $\newline$ Calculation: $9$ beats $\times 6 = 54$ beats in $60$ seconds.
Step $3$ : Determine the resting heart rate: The number of beats in $60$ seconds is the athlete's resting heart rate in beats per minute (bpm). $\newline$ Final Answer: The athlete's resting heart rate is $54$ bpm.

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