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.