To determine who worked at the highest intensity level from their target heart rate zones, we need to calculate the intensity level for each teammate. Here are the steps to compute these intensities:
### Step-by-Step Solution:
1. Identify each teammate's target heart rate zone:
- Juan: 140 bpm to 186 bpm
- Tyrell: 140 bpm to 183 bpm
- J.T.: 144 bpm to 188 bpm
- Owen: 144 bpm to 188 bpm
2. Average heart rate during exercise: 175 bpm
3. Calculate the intensity level for each teammate using the formula:
[tex]\[
\text{Intensity level} = \frac{\text{Average heart rate} - \text{Lower bound}}{\text{Upper bound} - \text{Lower bound}}
\][/tex]
4. Calculations for each teammate:
- Juan's intensity level:
[tex]\[
\text{Juan's intensity} = \frac{175 - 140}{186 - 140} = \frac{35}{46} \approx 0.7608695652173914
\][/tex]
- Tyrell's intensity level:
[tex]\[
\text{Tyrell's intensity} = \frac{175 - 140}{183 - 140} = \frac{35}{43} \approx 0.813953488372093
\][/tex]
- J.T.'s intensity level:
[tex]\[
\text{J.T.'s intensity} = \frac{175 - 144}{188 - 144} = \frac{31}{44} \approx 0.7045454545454546
\][/tex]
- Owen's intensity level:
[tex]\[
\text{Owen's intensity} = \frac{175 - 144}{188 - 144} = \frac{31}{44} \approx 0.7045454545454546
\][/tex]
5. Compare the intensity levels:
- Juan: [tex]\(0.7608695652173914\)[/tex]
- Tyrell: [tex]\(0.813953488372093\)[/tex]
- J.T.: [tex]\(0.7045454545454546\)[/tex]
- Owen: [tex]\(0.7045454545454546\)[/tex]
6. Conclusion:
Tyrell worked at the highest intensity level with an intensity of approximately 0.813953488372093.
Thus, based on the calculations, Tyrell worked at the highest intensity level.
