Suppose you start with a full tank of gas (15 gallons) in your truck. After driving 4 hours, you now have 6 gallons left. If x is the number of hours you have been driving, then y is the number of gallons left in the tank. At what rate is your truck using gas? State your answer as a reduced fraction.
Accepted Solution
A:
Answer:[tex]2\frac{1}{4} gallon per hour[/tex]Step-by-step explanation:The rate at which the truck will consume gas depends on some factors which include:Environmental factors (Weather)Average SpeedWeight of the truckCongestionDriving behaviour of the driver.Assuming all the conditions are uniform throughout the journey, then,the rate at which the truck is using gas = [tex]\frac{Total gas used}{Time taken}[/tex]Time taken = The number of hours you have been driving = x x = 4 hoursTotal gas used = Volume of gas in the tank at start - Volume of gas left in the tank Total gas used = 15 gallons - y Total gas used = 15 gallons - 6 gallons Total gas used = 9 gallonsThe rate at which the truck is using gas = [tex]\frac{9 gallons}{4 hours}[/tex] = [tex]\frac{9}{4} gallon per hour[/tex] = [tex]2\frac{1}{4} gallon per hour[/tex] (reduced fraction)