Thursday, July 30, 2009

One gallon of liquid occupies 231 cubic inches. What is a rule that expresses the # of gallons g(c) as a?

function of the # of cubic inches c.


A. g(c) c/231


B. g(c) 132/c


C. g(c) 231c


D. g(c) 132c

One gallon of liquid occupies 231 cubic inches. What is a rule that expresses the # of gallons g(c) as a?
Assuming your first statement is correct, then


A. g(c) = c/231





If c = 231, g(c)=1,


If c = 462, g(c)=2,


etc.
Reply:To convert units, create equal fractions:


g gal/1 gal = c in^3 /231 in^3





NOTE: Each unit gets its own fraction and the known equivalents (also known as the conversion factor) are in the denominators.





Crossmultiplying gives us: g * 231 = c * 1


So g = c/231

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