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Question about Human Body: Circulatory System

Sciences

Originais Teachy

Human Body: Circulatory System

Hard

(Originais Teachy 2024) - Question Hard of Sciences

During an interdisciplinary study on the impact of physical activity on the human body, a group of 6th-grade elementary school students collected data relating heart rate (HR) and circulatory system recovery time. The students noticed that after an intense soccer game, each participant's HR varied according to the level of effort expended and continued to change distinctly during the recovery period. Using their knowledge about the circulatory system and its responses to different stimuli, as well as principles of measurement and mathematical analysis, the students aim to develop a model that describes the variation of HR as a function of time after the end of the match and, subsequently, apply the model to predict a player's HR at a specific moment. Considering basic notions about the circulatory system, the students know that the heart is the central organ of this system and that HR is directly related to the number of heartbeats per minute (bpm). Assuming the role of the teacher, guide the students in building a mathematical model that best represents the variation of HR in the interval from 1 to 10 minutes after the end of the game, and from this model, determine the HR of a player at rest, knowing that the group's average HR in this state was 70 bpm.
a.
FC(t) = 120 * e^(-0.149t), where t is the time in minutes after the end of the game.
b.
FC(t) = 70 + 0.149t, where t is the time in minutes after the end of the game.
c.
FC(t) = 70 * (1 - 0.149t), where t is the time in minutes after the end of the game.
d.
HR(t) = 70 * e^(-0.149t), where t is the time in minutes after the end of the game.
e.
FC(t) = 120 - 0.149t, where t is the time in minutes after the end of the game.

Answer sheet:

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