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
Algebra.Com
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) (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.
-------
f = k*d*s^2
-----------------------
Solve for "k" using "the ship uses 200 barrels of oil in traveling 500 miles at 32 miles per hour"
---
200 = k*500*32^2
k = 0.0003906..
--------------------
Equation:
f = (0.0003906*d*s^2)
------
Determine how many barrels of oil are used when the ship travels 320 miles at 16 miles per hour.
---
f = 0.0003906*320*16^2
fuel = 32 barrels
==========================
Cheers,
Stan H.
RELATED QUESTIONS
the amount of oil used by a ship traveling at a uniform speed varies jointly with the... (answered by ankor@dixie-net.com)
The amount of oil use by a ship traveling at a uniform speed varies jointly with the... (answered by Boreal)
The amount of oil used by a ship traveling at a uniform speed varies jointly with the... (answered by josgarithmetic)
The amount of gasoline used by a car varies jointly as the distance traveled and the... (answered by josgarithmetic,MathTherapy)
The drag force
F
on a boat varies jointly with the wet surface area
A
of the boat (answered by josgarithmetic)
The drag of an object traveling through a fluid D varies jointly with the density of the... (answered by Alan3354)
The stopping distance of (s) of a car varies directly as the square of it's speed (v). If (answered by ankor@dixie-net.com)
The stopping distance s of a car varies directly as the square of its speed v. If a car... (answered by ewatrrr)
The stopping distance s of a car varies directly as the square of its speed v. If a car... (answered by mananth)