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Variation Exercise 1 - Direct Variation

Answer the question below by using Definition of Direct Variation to write a mathematical model where t represents time and D represents distance. 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
The distance an object drops in freefall varies directly as the square of the time it falls.  If the object falls 144 feet in 3 seconds, how long does it take for the object to fall 300 feet?

Model__________________________

Given

 


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

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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