10.88 The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by y=f(x)=0.01x a. Find the energy for the following animals swimming at the surface of the water. where x is the animal's weight in grams. i. A muskrat weighing 300 g ii. A sea otter weighing 80,000 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 by calculating f(g(z)).
10.88 The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by y=f(x)=0.01x a. Find the energy for the following animals swimming at the surface of the water. where x is the animal's weight in grams. i. A muskrat weighing 300 g ii. A sea otter weighing 80,000 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 by calculating f(g(z)).
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Transcribed Image Text:The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by y=f(x)=0.01x0.88, 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 300 g
ii. A sea otter weighing 80,000 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 yaz by calculating f(g(z)).
a.
i. The energy for a muskrat is kcal/km.
(Round to the nearest tenth as needed.)
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