Deer Problem: The surface area of a deer's body is approximately proportional to the

Chapter 1, Problem 24

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Deer Problem: The surface area of a deer's body is approximately proportional to the power of the deers weight. (This is true because the area is proportional to the square of the length and the weight is proportional to the cube of the length.) Suppose that the particular equation for area as a function of weight is given by the power function A(x) = 0.4x2/3 where x is the weight in pounds and A(x) is the surface area measured in square feet. a. Find A(50), A(100), and A(150). Explain the real-world meaning of the answers. b. True or false: A deer twice the weight of another deer has a surface area twice that of the other deer. Give numerical evidence to support your answer. c. Find an equation for A1(x), where x now stands for area instead of weight. d. Plot A and A1 on the same screen using function mode. Use an x-window of 0 x 25 How are the two graphs related to the line y = x? 2