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Fisher and his classmates measure their heart rates after running 5 laps around the track. Fisher's heart beats 85 beats in 30 seconds. Which of the following heart rates is equivalent to his heart rate?

A) 150 beats in 50 seconds
B) 500 beats in 3 minutes
C) 255 beats in 1.5 minutes
D) 125 beats in 45 seconds

Answer :

Final answer:

Fisher's equivalent heart rate is C) 255 beats in 1.5 minutes, which also equates to 170 beats per minute, just like Fisher's original measurement.

Explanation:

To find which of the given heart rates is equivalent to Fisher's heart rate, we first convert Fisher's rate to beats per minute (bpm). Since Fisher's heart beats 85 beats in 30 seconds, we can double that number to find the beats per minute: 85 beats * 2 = 170 bpm. Now let's analyze each option:

  • A) 150 beats in 50 seconds: To convert this to bpm, we multiply by $rac{60}{50}$, which results in 180 bpm. This is not equivalent.
  • B) 500 beats in 3 minutes: 500 beats divided by 3 minutes is equal to approximately 166.67 bpm. This is not equivalent.
  • C) 255 beats in 1.5 minutes: Dividing 255 beats by 1.5 minutes gives us 170 bpm. This is equivalent to Fisher's rate.
  • D) 125 beats in 45 seconds: To find the bpm, we multiply by $rac{60}{45}$, which equals about 166.67 bpm. This is not equivalent.

Therefore, the equivalent heart rate to Fisher's is C) 255 beats in 1.5 minutes.

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