The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by y = f(x)=0.01x⁰ the animal's weight in grams. a. Find the energy for the following animals swimming at the surface of the water. x0.88, where x is i. A muskrat weighing 200 g ii. A sea otter weighing 50,000 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)).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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 200 g
ii. A sea otter weighing 50,000 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)).
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 200 g ii. A sea otter weighing 50,000 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)).
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