SOLUTION: The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed. If the ship uses 200 barrels of oil in traveling 500 mil

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Question 458697: The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed. If the ship uses 200 barrels of oil in traveling 500 miles at 32 miles per hour, determine how many barrels of oil are used when the ship travels 320 miles at 16 miles per hour.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed.
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f = k*d*s^2
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Solve for "k" using "the ship uses 200 barrels of oil in traveling 500 miles at 32 miles per hour"
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200 = k*500*32^2
k = 0.0003906..
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Equation:
f = (0.0003906*d*s^2)
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Determine how many barrels of oil are used when the ship travels 320 miles at 16 miles per hour.
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f = 0.0003906*320*16^2
fuel = 32 barrels
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Cheers,
Stan H.