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AP Biology/Unit 8: Ecology
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Metabolic Rate and Body Mass Relationship
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The metabolic rate ($$B$$) of an organism is related to its body mass ($$M$$) by the power-law equation $$B = kM^{3/4}$$. Which of the following conclusions is best supported by this relationship?

A

The equation shows that as body mass increases, the metabolic rate increases at a slower rate than mass, meaning larger animals have a lower metabolic rate per unit mass.

B

The direct proportionality between metabolic rate and body mass implies that all organisms, regardless of size, expend energy at the same rate per unit mass.

C

Since the exponent 3/4 is greater than 1, larger organisms must have a higher metabolic rate per unit mass compared to smaller organisms.

D

The relationship indicates that metabolism is not influenced by body mass, thereby ensuring a uniform energy expenditure across all sizes.

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