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Variation Exercise 2 - Inverse Variation Application

Answer the question below by using Definition of Inverse Variation to write a mathematical model where W represents weight and x represents distance from the center of the earth. Use the data given to solve for the constant, writing a complete model, and then using the complete model to answer the question. Justify steps.
 

STATEMENT JUSTIFICATION
According to Newton's Universal Law of Gravitation, the weight of an object varies inversely as the square of the distance from the center of the earth. At the surface of the earth, the object weighs 10 pounds and the radius of the earth is 3959 miles. What will the object weigh when it is 7000 miles above the surface of the earth?

Model__________________________

Given

 

 


Definition of Inverse Variation
Substitute in values to solve for k.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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