Question

According to Air Bus the fuel mileage is $0.2$ miles per gallon for $600-$passenger when the plane travels at an aver-age speed of $500$ miles per hour. Air Bus has $42,000$ gallons of fuel at the beginning of a flight. If the plane travels at an average speed of $500$ miles per hour, which of the following functions models the number of gallons of fuel remaining in the tank t hours after the flight begins?

• A. $f\left(t\right)=42,000-\frac{500t}{0.2}$
• B. $f\left(t\right)=42,000-\frac{0.2}{500t}$
• C. $f\left(t\right)=\frac{42,000-500t}{0.2}$
• D. $f\left(t\right)=\frac{42,000-0.2}{500t}$

Answer 1

The correct option is A $f\left(t\right)=42,000-\frac{500t}{0.2}$

Given, Air Bus mileage $0.2$miles per gallon.

Average speed$=500$ miles per hour.

Average Distance traveled for $t$ hours$=500\left(t\right)$

Initial amount of fuel $=42,000$ gallons

So, no. of gallons of fuel required as a fraction of time $\left(t\right)$,

$f\left(t\right)=42000-\frac{500\left(t\right)}{0.2}$