SOLUTION: the resistance of copper wire varies directly with its length. a copper wire 275 feet long has a resistance of 950 ohms. what is the resistance of 1575 feet of copper wire

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Question 176964: the resistance of copper wire varies directly with its length. a copper wire 275 feet long has a resistance of 950 ohms. what is the resistance of 1575 feet of copper wire
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can start by writing the equation of variation in which R = resistance in ohms and L = wire length in feet, and k = the constant of variation:
R+=+k%2AL Solve for k.
k+=+R%2FL Substitute the given R = 950 ohms and L = 275 feet and solve for k.
k+=+950%2F275 Simplify.
k+=+38%2F11, so...
R+=+%2838%2F11%29%2AL Substitute L = 1575 feet and solve for R.
R+=+%2838%2F11%29%281575%29
highlight%28R+=+5440.91%29ohms.