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. Create a linear model that represents the amount of gasoline on the plane, in gallons, as a function of the flight time, in hours.

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Answer:

[tex]x = 3.741\times 10^{-5}\cdot n[/tex]

Step-by-step explanation:

The travel time is found dividing the flight traveled distance by cruise speed:

[tex]t =\frac{x}{v_{cruise}}[/tex]

A Boeing 747-8 has a cruise speed of 914 kilometers per hour. Then:

[tex]t = \frac{x}{914\,\frac{km}{h} }[/tex]

The maximum distance as function of the quantity of gallons of gasoline is estimated by the following linear model:

[tex]x = \frac{14,430\,km}{422,000\,gallons}\cdot n[/tex]

Finally, the required expression is:

[tex]x = 3.741\times 10^{-5}\cdot n[/tex]

Answer:

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Step-by-step explanation:

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