Final answer:
Amelia will need 12 liters of gasoline to drive 96 kilometers, as gasoline consumption is directly proportional to the distance driven.
Step-by-step explanation:
The student's question requires calculating the amount of gasoline needed to drive a certain distance, which is a direct proportion problem. Amelia used 6 liters of gasoline to drive 48 kilometers. We can set up a proportion to find out how many liters she will need to drive 96 kilometers, since the fuel consumption rate is constant.
To calculate this, we need to understand that if 6 liters are used for 48 kilometers, then the number of liters needed for 96 kilometers, which is twice the initial distance, would also be twice the amount of gasoline. Therefore, 6 liters x 2 = 12 liters of gasoline.
Hence, the correct answer is 1) 12 liters of gasoline required to drive 96 kilometers.