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23 July, 20:13

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

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  1. 23 July, 23:54
    0
    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
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