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

a. Because the surface area is derived from the mass, the area is the dependent variable and the independent variable would be the mass. Likewise, Mass is the domain and surface area is the range. b. y=x^(2/3) where y=surface area and x= mass. c. y=1600^(2/3), simplifying we get that the surface area is 136.798cm^2, round if needed. d. 15=x^(2/3) equals out to be 58.0948 grams. hope this helps!

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