Asked by Carlitana

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 450 barrels of oil in traveling 500 miles at 44mph, determine how many barrels of oil are used when the ship travels 440 miles at 22mph
Answered by Damon
B = barrels = k d v^2
450 = k (500 * 44 *44)
so
k = 450 / (500 * 44 *44)
then
B = k (440 * 22 * 22)
B = [ 450 / (500 * 44 *44) ] (440 * 22 * 22)
B = 450 (44/50)(1/4)
B = 450 (11/50)
B = 99
or just say half the speed is 1/4 the fuel rate per mile
so right off
B = 450 (440/500)(1/4) = 450 (110/500) = 99
Answered by Skittles🍭🍬🍫
15.2 barrels
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