Question 964160
the amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed.
k * d * r^2 = b, where
k = the constant of variation
d = dist
r = speed
b = barrels consumed
:
 If the ship uses 200 barrels of oil in traveling 500 miles at 32 miles per hour,
Find the constant of variation
k * 500 * 32^2 = 200
512000k = 200
k = 200/512000
k = .000390625
:
 determine how many barrels of oil are used when the ship travels 320 miles at 16 miles per hour
b = .00039625 * 320 * 16^2 
b = 32 barrels of oil required