A certain car model cost Birr 20,000 with a gasoline engine and Br 25,000 with a diesel engine. The number of miles per gallon of fuel for cars with these two engines is 25 and 30, respectively. Assume that the price of both types of fuel is Birr 1.50 per gallon
a) Drive the equation for the cost of driving a gasoline powered car.
b) Drive the equation for the cost of driving a diesel powered car.
c) Find the break-even point, that is, find the mileage at which the diesel-powered car becomes more economical than the gasoline powered car.
To calculate the cost of fuel for each car model, we need to determine the number of gallons of fuel each model consumes and then multiply it by the price per gallon.
Let's start with the car with a gasoline engine:
The number of miles per gallon for this car is 25. Therefore, for every 25 miles it travels, it consumes 1 gallon of fuel.
Now let's calculate the fuel consumption per mile:
1 gallon / 25 miles = 0.04 gallons per mile.
To calculate the cost of fuel per mile, multiply the fuel consumption per mile by the price per gallon:
0.04 gallons/mile * Birr 1.50/gallon = Birr 0.06 per mile.
To calculate the cost of fuel for a certain distance, multiply the cost per mile by the total distance:
Birr 0.06/mile * total distance.
To calculate the cost of fuel for the car with a diesel engine, follow the same steps, but using the mileage per gallon for this car, which is 30.
Remember to plug in the total distance to get the actual cost of fuel for each car model.