Final answer:
To calculate the total gas used, multiply the distance traveled by each vehicle by the amount of gas used per mile. Add the gas used by the moving truck and the family car to find the total gas used is 14.4 gallons.
Step-by-step explanation:
To calculate the total amount of gas used by Ethan's family, we need to multiply the distance traveled by each vehicle by the amount of gas used per mile for that vehicle.
For the moving truck:
Distance traveled = 120 miles
Gas used per mile = 0.1 gallons
Total gas used by the moving truck = 120 miles * 0.1 gallons/mile = 12 gallons
For the family car:
Distance traveled = 120 miles
Gas used per mile = 0.02 gallons
Total gas used by the family car = 120 miles * 0.02 gallons/mile = 2.4 gallons
To find the total gas used by both vehicles, we add the gas used by the moving truck and the family car:
Total gas used = 12 gallons + 2.4 gallons = 14.4 gallons