Kleiber’s Law states that the metabolic needs (such as calorie requirements) of a mammal are proportional to its body weight raised to the 0.75 power.1 Surprisingly, the daily diets of mammals conform to this relation well. Assuming Kleiber’s Law holds, answer the following questions. (a) Write a formula for C, daily calorie consumption, as a function of body weight, W. Use k for the constant of proportionality. C= (b) If a human weighing 150 pounds needs to consume 1800 calories a day, estimate the daily calorie requirement of a horse
Kleiber’s Law states that the metabolic needs (such as calorie requirements) of a mammal are proportional to its body weight raised to the 0.75 power.1 Surprisingly, the daily diets of mammals conform to this relation well. Assuming Kleiber’s Law holds, answer the following questions.
(a) Write a formula for C, daily calorie consumption, as a function of body weight, W.
Use k for the constant of proportionality.
C=
(b) If a human weighing 150 pounds needs to consume 1800 calories a day, estimate the daily calorie requirement of a horse weighing 750 lbs and of a rabbit weighing 9 lbs.
Round your answers to three decimal places.
Daily calorie requirement of a horse = calories
Daily calorie requirement of a rabbit = calories
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