Question

the chart below shows four teammates target heart rate zones. their coach had them all using the stair climber each with an average heart rate at 175 beats per minute. based on this information, who worked at the highest intensity level? (3 points)
name\ttarget heart rate zone
juan\t140bpm–186bpm
tyrell\t140bpm–183bpm
j.t.\t144bpm–188bpm
owen\t144bpm–188bpm

Explanation:

Step1: Analyze each teammate's heart rate

To determine intensity, we check how close 175 bpm is to the upper limit of their target zone (higher proximity to upper limit means higher intensity).

• Juan: Upper limit 186. Difference: \(186 - 175 = 11\)
• Tyrell: Upper limit 183. Difference: \(183 - 175 = 8\)
• J.T.: Upper limit 188. Difference: \(188 - 175 = 13\)
• Owen: Upper limit 188. Difference: \(188 - 175 = 13\)

Step2: Compare differences

Smaller difference means closer to upper limit (higher intensity). Tyrell has the smallest difference (8), so his intensity is highest relative to his target zone. Wait, no—wait, 175 is compared to the upper limit. Wait, actually, the intensity can be measured as (actual - lower)/(upper - lower) to get the percentage of the target zone. Let's recalculate:

• Juan: \(\frac{175 - 140}{186 - 140} = \frac{35}{46} \approx 0.761\)
• Tyrell: \(\frac{175 - 140}{183 - 140} = \frac{35}{43} \approx 0.814\)
• J.T.: \(\frac{175 - 144}{188 - 144} = \frac{31}{44} \approx 0.705\)
• Owen: \(\frac{175 - 144}{188 - 144} = \frac{31}{44} \approx 0.705\)

Ah, so Tyrell's percentage is highest (~81.4%), meaning he worked at the highest intensity level relative to his target zone.

Answer:

Tyrell (since his average heart rate of 175 bpm is the highest percentage of his target heart rate zone, calculated as \(\frac{175 - 140}{183 - 140} \approx 81.4\%\), higher than Juan (~76.1%), J.T. (~70.5%), and Owen (~70.5%)).