The table shows the number of heartbeats in minutes for Shen and Adrian.

A 3-column table with 2 rows. Column 1 is labeled Person with entries Shen, Adrian. Column 2 is labeled Heartbeats with entries 192, 360, Column 3 is labeled Time (minutes) with entries 3, 5.

Which statements are true? Check all that apply.
Shen has a slower heart rate than Adrian.
Adrian has a slower heart rate than Shen.
Shen’s unit heart rate is 64 beats per minute.
Adrian’s unit heart rate is 72 beats per minute.
Adrian’s unit heart rate is 120 beats per minute.

1 answer

To determine the truth of the statements, we need to calculate the heart rates (in beats per minute) for both Shen and Adrian using the formula:

\[ \text{Heart Rate} = \frac{\text{Number of Heartbeats}}{\text{Time (in minutes)}} \]

  1. Shen's Heart Rate:

    • Heartbeats: 192
    • Time: 3 minutes
    • Heart Rate = \( \frac{192}{3} = 64 \) beats per minute
  2. Adrian's Heart Rate:

    • Heartbeats: 360
    • Time: 5 minutes
    • Heart Rate = \( \frac{360}{5} = 72 \) beats per minute

Now, let's evaluate each statement:

  1. Shen has a slower heart rate than Adrian.

    • False. Shen's heart rate is 64 bpm and Adrian's is 72 bpm.
  2. Adrian has a slower heart rate than Shen.

    • False. Adrian's heart rate (72 bpm) is higher than Shen's (64 bpm).
  3. Shen’s unit heart rate is 64 beats per minute.

    • True. Shen's heart rate is indeed 64 bpm.
  4. Adrian’s unit heart rate is 72 beats per minute.

    • True. Adrian's heart rate is indeed 72 bpm.
  5. Adrian’s unit heart rate is 120 beats per minute.

    • False. Adrian's heart rate is 72 bpm, not 120 bpm.

Summary of Truth Values:

  • Shen has a slower heart rate than Adrian: False
  • Adrian has a slower heart rate than Shen: False
  • Shen’s unit heart rate is 64 beats per minute: True
  • Adrian’s unit heart rate is 72 beats per minute: True
  • Adrian’s unit heart rate is 120 beats per minute: False

True Statements:

  • Shen’s unit heart rate is 64 beats per minute.
  • Adrian’s unit heart rate is 72 beats per minute.