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

Respuesta :

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