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. (a) Write a formula for the circulation time, T, in terms of the body mass B. NOTE: Use k as the constant of proportionality. T(B) = (b) If an elephant of body mass 5230 kilograms has a circulation time of 148 seconds, find the constant of proportionality, k. NOTE: Round your answer to one decimal place. k = 17.4 (c) What is the circulation time of a human with body mass 90 kilograms? NOTE: Round your answer to the nearest integer. The human circulation time is about seconds.
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. (a) Write a formula for the circulation time, T, in terms of the body mass B. NOTE: Use k as the constant of proportionality. T(B) = (b) If an elephant of body mass 5230 kilograms has a circulation time of 148 seconds, find the constant of proportionality, k. NOTE: Round your answer to one decimal place. k = 17.4 (c) What is the circulation time of a human with body mass 90 kilograms? NOTE: Round your answer to the nearest integer. The human circulation time is about seconds.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![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.
(a) Write a formula for the circulation time, T, in terms of the body
mass B.
NOTE: Use k as the constant of proportionality.
T(B) =
(b) If an elephant of body mass 5230 kilograms has a circulation time
of 148 seconds, find the constant of proportionality, k.
NOTE: Round your answer to one decimal place.
k 17.4
=
(c) What is the circulation time of a human with body mass
90 kilograms?
NOTE: Round your answer to the nearest integer.
The human circulation time is about
seconds.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b3cab0b-1b9d-46af-aea0-f4a60a0a3a8d%2F5480ae82-295e-4b25-ab9c-6a83d6376e51%2Fi48x3t_processed.jpeg&w=3840&q=75)
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.
(a) Write a formula for the circulation time, T, in terms of the body
mass B.
NOTE: Use k as the constant of proportionality.
T(B) =
(b) If an elephant of body mass 5230 kilograms has a circulation time
of 148 seconds, find the constant of proportionality, k.
NOTE: Round your answer to one decimal place.
k 17.4
=
(c) What is the circulation time of a human with body mass
90 kilograms?
NOTE: Round your answer to the nearest integer.
The human circulation time is about
seconds.
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