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. Surprisingly, the daily diets of mammals conform to this relation well. Assuming Kleiber’s Law holds: 

(a) Write a formula for C, daily calorie consumption, as a function of body weight, W.

(b) Sketch a graph of this function. (You do not need scales on the axes.) 

(c) If a human weighing 150 pounds needs to consume 1800 calories a day, estimate the daily calorie requirement of a horse weighing 700 lbs and of a rabbit weighing 9 lbs. 

(d) On a per-pound basis, which animal requires more calories: a mouse or an elephant?