Question

In 2004, it was reported that "the relationship between body mass, M, and standard metabolic rate, B, among living organisms remains controversial. However, in many cases B is approximately proportional to the three-quarters power of M.

a.he average mass of an African forest elephant is 4.6 metric tons, and that of a typical mouse is 25 grams. Use part (a) to determine how many times greater the metabolic rate of an elephant is than that of a mouse. Recall that 1 metric ton = 1,000,000 grams.

Answer 1

The answer is 8884.37 times

In many cases, B is approximately proportional to the three-quarters power of M:

`B= M^(3/4)`

Elephant:
M1 = 4.6 mt = 4.6 * 1,000,000 g = 4,600,000 g

`B1= 4600000^(3/4)=99327.24`

Mouse
M2 = 25 g

`B2= 25^(3/4)=11.18`

determine how many times greater the metabolic rate of an elephant is than that of a mouse:
B1/B2 = 99327.24 / 11.18 = 8884.37 times