Question

The mileage of Puja's vehicle is $21$ miles per gallon, given that the average speed of the car as $50$ miles per hour. The gas tank of the vehicle has $17$ gallons of gas when she started the trip. Which of the following will represent the gallons of gas remaining in the tank $t$ hours after the trip begins when the vehicle travels at an average speed of $50$ miles per hour?

• A. $f\left(t\right)=17-\frac{21}{50t}$
• B. $f\left(t\right)=17-\frac{50t}{21}$
• C. $f\left(t\right)=\frac{17-21t}{50}$
• D. $f\left(t\right)=\frac{17-50t}{21}$

Answer 1

The correct option is B $f\left(t\right)=17-\frac{50t}{21}$

Given mileage of vehicle$=21$ miles per gallon.

Average speed of car$=50$ miles per hour.

Distance traveled per $t$ hours $=50t$

So the no. of gallons of gas remaining in the tank $t$ hours

$f\left(t\right)=17-\frac{50t}{21}$