The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by y = ƒ(x) = 0.01x^0.88, where x is the animal’s weight in grams.
(a) Find the energy for the following animals swimming at the surface of the water.
(i) A muskrat weighing 800 g
(ii) A sea otter weighing 20,000 g
(b) Suppose the animal’s weight is given in kilograms rather than grams. Given that 1 kg = 1000 g, find a function x = g(z) giving the animal’s weight in grams if z is the animal’s weight in kilograms.
(c) Write the energy expenditure as a function of the weight in kilograms in the form y = az^b by calculating ƒ(g(z)).†