Final answer:
To calculate the cost to fill a 100 L gas tank at $2.87 per gallon, one must first convert liters to gallons, resulting in approximately 26.4172 gallons. Multiplying this by the cost per gallon gives a total cost of roughly $75.82.
Step-by-step explanation:
The question involves calculating the cost to fill a car's gas tank based on a given volume and fuel price per gallon.
Since the gas tank capacity is given in liters (100 L) and the gas cost is provided in dollars per gallon, we need to convert liters to gallons before calculating the total cost.
To convert from liters to gallons, we use the conversion factor 1 liter = 0.264172 gallons. Therefore, a 100-liter tank is equivalent to 100 L × 0.264172 gallons/L ≈ 26.4172 gallons.
The cost to fill the tank can be calculated using the price per gallon of gas, which is given as $2.87 per gallon.
To find the total cost, we multiply the number of gallons by the price per gallon:
Total Cost = Volume in gallons × Cost per gallon
Total Cost = 26.4172 gallons × $2.87/gallon
Total Cost ≈ $75.82
Therefore, the cost to fill a 100 L gas tank at $2.87 per gallon would be approximately $75.82.