Harold's car has a fuel tank with 12 gallons of fuel in it. The fuel efficiency of Harold's car is 25 miles per gallon. Write an equation to represent the amount of fuel remaining, f, in Harold's car after driving m miles.
f(m) = 12 - m/25
To write an equation representing the amount of fuel, f, remaining in Harold's car after driving m miles, we need to first calculate the number of gallons of fuel used during the trip.
The fuel efficiency of Harold's car is given as 25 miles per gallon. This means that for every 1 gallon of fuel used, Harold's car can travel 25 miles.
To find the number of gallons of fuel used during the trip, we divide the number of miles driven, m, by the fuel efficiency, which is 25 miles per gallon.
Therefore, the equation representing the amount of fuel remaining, f, in Harold's car after driving m miles is:
f = 12 - (m/25)
To write an equation representing the amount of fuel remaining in Harold's car after driving a certain number of miles, we need to consider the fuel efficiency and the initial amount of fuel.
Let's break down the problem and derive the equation step by step:
1. Harold's car has a fuel tank with 12 gallons of fuel.
2. The fuel efficiency of the car is 25 miles per gallon.
3. After driving m miles, we need to find the remaining amount of fuel, f.
To determine the amount of fuel used after driving m miles, we divide the number of miles by the fuel efficiency:
Fuel used = miles driven / fuel efficiency
Substituting the given values into the equation:
Fuel used = m / 25
Now, to find the remaining fuel after driving m miles, we subtract the fuel used from the initial amount of fuel:
f = 12 - (m / 25)
Therefore, the equation representing the amount of fuel remaining, f, in Harold's car after driving m miles would be:
f = 12 - (m / 25)
Liz fills her car with 9 gallons of gasoline. If she filled a further 10% of the capacity of the tank, the car would have 10.4 gallons of gas.
What is the capacity of the tank?