Question

A.) In 2004, it was reported that "the relationship between body mass, MM, and standard metabolic rate, BB, among living organisms remains controversial. However, in many cases BB is approximately proportional to the three-quarters power of MM."
(a) Write a function that represents this relationship. If you must introduce a new variable, use kk.

B = ?

B.) The average mass of an African forest elephant is 4.7 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.

___ times greater

Answer 1

A )
The equation of relationship is:
B = k · M ^(3/4)
B ) 
4.7 tons = 4,700,000 g
B ( mouse ) = k · 25 ^(3/4)
B ( elephant) = k · 4,700,000 ^(3/4)
B ( el ) / B ( m ) = k · 4,700,000 ^(3/4) / k · 25^(3/4) =
= ( 4,700,000 / 25 )^(3/4) = 188,000^(3/4) = 9,029 times