Kleiber’s Law states that the daily calorie requirement, C(w), of a mammal is proportional to the mammal’s body weight w raised to the 0.75 power. If body weight is measured in pounds, the constant of proportionality is approximately 42.
(a) Give formulas for C(w) and C'(w).
(b) Find and interpret
(i) C(10) and C'(10)
(ii) C(100) and C'(100)
(iii) C(1000) and C'(1000)