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Question
5 from unit 2, lesson 6 a person’s resting heart rate is typically between 60 and 100 beats per minute. noah looks at his watch and counts 8 heartbeats in 10 seconds. a. is his heart rate typical? explain how you know. b. write an equation for h, the number of times noah’s heart beats (at this rate) in m minutes.
Step1: Convert rate to beats per minute
Since 1 minute = 60 seconds, the number of 10-second intervals in 1 minute is $\frac{60}{10}=6$. Multiply by beats in 10 seconds: $8 \times 6 = 48$ beats per minute.
Step2: Compare to typical range
The typical range is 60-100 beats per minute. $48 < 60$, so it is not typical.
Step3: Define variables for the equation
Let $h$ = total heartbeats, $m$ = minutes. We know the rate is 48 beats per minute.
Step4: Write the proportional equation
Total beats equal rate times minutes: $h = 48m$
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a. Noah's heart rate is not typical. His heart rate is 48 beats per minute, which is below the typical range of 60-100 beats per minute.
b. $h = 48m$