Answer
The metabolic rate of a 70-kg human exceeds the metabolic rate of a 5.0-kg cat by a factor of 7.2
Work Step by Step
We can find the ratio of the metabolic rate of a 70-kg human to the metabolic rate of a 5.0-kg cat.
$ratio = \frac{(70 ~kg)^{3/4}}{(5.0 ~kg)^{3/4}} = (\frac{70}{5.0})^{3/4} = (14)^{3/4} = (14^3)^{1/4}$
$ratio = (2744)^{1/4} = 7.2$
The metabolic rate of a 70-kg human exceeds the metabolic rate of a 5.0-kg cat by a factor of 7.2
