The amount of juice in a grapefruit is directly proportional to the cube of its diameter. Let j represent the amount of juice (in fluid ounces) in a grapefruit, let d represent the diameter (in inches) of the grapefruit, and let k be the constant of proportionality. Write an equation that relates j to d.

Question

Mathematics

Jakob Allison

2 May, 08:02

The amount of juice in a grapefruit is directly proportional to the cube of its diameter. Let j represent the amount of juice (in fluid ounces) in a grapefruit, let d represent the diameter (in inches) of the grapefruit, and let k be the constant of proportionality. Write an equation that relates j to d.

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Brayan Ward · Answer 1

The equation relating j to d can be written as:

If J = the amount of juice in fluid ounces and D = its diameter, then:

J=kD³ where k = the constant of proportionality.