The Boeing 747-8 Intercontinental Jet can carry approximately 422,000 gallons of gasoline, making it possible for the jet to travel 14,430 kilometers before needing to refuel.

Question

The Boeing 747-8 Intercontinental Jet can carry approximately 422,000 gallons of gasoline, making it possible for the jet to travel 14,430 kilometers before needing to refuel.

Use a linear model to predict the amount of gasoline that is present on the Jet after it has been in flight for 18 hours without stopping to refuel. In two or more complete sentences, explain your answer.

Answer 1

Assuming a constant rate of fuel consumption, we can use the formula y=mx+b, where x is the time elapsed in hours and y is the amount of gasoline remaining in gallons. The slope (m) represents the rate of fuel consumption and the y-intercept (b) is the initial amount of gasoline. Using the given information, we can calculate the slope as m = -29,277.78 (422,000 gallons / 14,430 km) and the initial amount of gasoline as b = 422,000 gallons. Thus, after 18 hours of continuous flight, the amount of gasoline remaining can be predicted as y = -29,277.78(18) + 422,000 = 372,000 gallons. This means that the jet would have consumed approximately 50,000 gallons of gasoline in 18 hours of flight.