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

Question

Mathematics

Jenna Glover

Today, 16:23

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

+3

Answers (1)

Know the Answer?

Krish Fox · 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