7. Suppose the surface area of the shell of an egg is directly proportional to t

Question

7. Suppose the surface area of the shell of an egg is directly proportional to the 2/3
power of the mass of the egg. An average chicken egg has a mass of 60 grams, and it has a surface area of 28cm^2.

a. What are the independent and dependent variables? What is the domain of the problem situation? Range?

b. Determine a function to represent the relationship between the surface are of the shell of an egg and the mass of the egg.

c. What would be the surface area of an ostrich egg that has a mass of 1,600 grams?

d. what would be the mass of a turtle egg that has a surface area of 15 cm^2

Explanation / Answer

TSA=k.(2/3)Mass 28=k(2/3)*60 (28/40)=k k=.7 a) The independent Variable is k and the dependent variables are TSA and mass. domain= (0, infinity) b)TSA=(7/15)Mass c)(7/15)*(1600)=746.67 d)15/(7/15)=32.14

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