The circulation time of a mammal (that is, the average time it takes for all the blood in the body to circulate once and return to the heart) is proportional to the fourth root of the body mass of the mammal. Let the circulation time be Y and the body mass be x. (a) If an elephant of body mass 5500 kilograms has a circulation time of 124 seconds, find the constant of proportionality. Answer (b) Write a formula for the circulation time in terms of body mass. Answer: Y(x) = (c) Assume that the constant of proportionality is the same for all mammals. What is the circulation time of a human with body mass 88 kilograms? Answer:

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ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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The circulation time of a mammal (that is, the average time it takes for all the blood in the body to circulate once and return to the heart) is
proportional to the fourth root of the body mass of the mammal. Let the circulation time be Y and the body mass be x.
(a) If an elephant of body mass 5500 kilograms has a circulation time of 124 seconds, find the constant of proportionality.
Answer
(b) Write a formula for the circulation time in terms of body mass.
Answer: Y(x) =
(c) Assume that the constant of proportionality is the same for all mammals. What is the circulation time of a human with body mass 88
kilograms?
Answer:
Transcribed Image Text:The circulation time of a mammal (that is, the average time it takes for all the blood in the body to circulate once and return to the heart) is proportional to the fourth root of the body mass of the mammal. Let the circulation time be Y and the body mass be x. (a) If an elephant of body mass 5500 kilograms has a circulation time of 124 seconds, find the constant of proportionality. Answer (b) Write a formula for the circulation time in terms of body mass. Answer: Y(x) = (c) Assume that the constant of proportionality is the same for all mammals. What is the circulation time of a human with body mass 88 kilograms? Answer:
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