Big fish swim substantially faster than small fish and big birds fly faster than small ones. The speeds of running mammals, however, vary a lot less with body size, although big ones do go somewhat faster. Assume that the energetic cost of transport (cost per distance) varies with (body mass)0.68 and that maximum metabolic rate varies with (body mass)0.81.
1) How many times faster would you expect a 500 kilogram bear to be able to run relative to a 50 gram rodent? Show your work for the answer.