Answer:
The airplane needs approximately 20,571.43 pounds of fuel to fly 3600 miles.
Explanation:
We can start by finding out how many pounds of fuel were used to fly 1750 miles on 40% of a full tank of 25,000 pounds of fuel.
40% of 25,000 pounds of fuel = 0.4 x 25,000 = 10,000 pounds of fuel
To fly 1750 miles, the airplane used 10,000 pounds of fuel.
Now we can set up a proportion to find out how much fuel is needed to fly 3600 miles:
Fuel used for 1750 miles : Distance of 1750 miles = Fuel needed for 3600 miles : Distance of 3600 miles
10,000 lbs : 1750 miles = x : 3600 miles
To solve for x, we can cross-multiply:
10,000 lbs x 3600 miles = 1750 miles x x
36,000,000 = 1750 x
x = 36,000,000 / 1750
x ≈ 20,571.43 lbs of fuel
Therefore, the airplane needs approximately 20,571.43 pounds of fuel to fly 3600 miles.