Question

Regarding hybrid vehicles: Recently developed hybrid cars incorporate both an electric and a gasoline engine, with batteries capable of storing extra energy generated, for instance, during braking. This stored energy can then be used to power the car, resulting in a lower gasoline consumption per mile compared to conventional gasoline-only cars.

a. If a new hybrid car is rated to drive 45 miles per gallon of gasoline and it costs $40 to fill the gasoline tank with gas priced at $3.00 per gallon, write and solve an equation to determine the distance the hybrid car can travel on a single tank of gas.

Answer 1

To calculate the distance a hybrid car can travel on a single tank of gas, divide the total cost to fill the tank by the price per gallon to find the number of gallons, and multiply by the car's fuel efficiency. For a car that travels 45 miles per gallon with a $40 fill-up at $3.00 per gallon, it can travel 600 miles on a full tank.

Step-by-step explanation:

Regarding hybrid vehicles, if a new hybrid car is rated to drive 45 miles per gallon of gasoline and it costs $40 to fill the gasoline tank with gas priced at $3.00 per gallon, we can write an equation to determine the distance the hybrid car can travel on a single tank of gas. First, we calculate the number of gallons the tank holds by dividing the cost to fill the tank by the price per gallon, which is $40 ÷ $3.00/gallon = 13.­3 gallons. Then, we multiply the number of gallons by the miles per gallon the car can travel, which is 13.33 gallons × 45 miles/gallon = 600 miles. Therefore, the hybrid car can travel 600 miles on a full tank of gas.