Final answer:
The race car's gas mileage is 5.48 kilometers per liter, which converts to approximately 12.89 miles per gallon using the conversion factors 1 kilometer = 0.6214 miles and 1 liter = 0.2642 gallons.
Step-by-step explanation:
To convert the car's gas mileage from kilometers per liter to miles per gallon, we need the following conversion factors: 1 kilometer = 0.6214 miles and 1 liter = 0.2642 gallons. The race car's gas mileage is given as 5.48 kilometers per liter.
First, convert kilometers to miles: 5.48 km x 0.6214 mi/km = 3.4053 miles.
Next, convert liters to gallons: Since the original measurement is per liter, we use the reciprocal of gallons to liters, so 1 L x 1/0.2642 gal/L = 3.7854 liters per gallon.
Now, we can calculate the car's gas mileage in miles per gallon by dividing the miles by gallons: 3.4053 mi / (1/3.7854) gal = 12.89 miles per gallon.
Therefore, the race car's gas mileage is approximately 12.89 miles per gallon.