To find out how many gallons of gas the truck would need to drive 425 miles, we can start by calculating the truck's fuel efficiency.
The truck drives 34 miles on 2 gallons of gas, so the miles per gallon (MPG) can be calculated as follows:
\[ \text{MPG} = \frac{\text{Distance}}{\text{Gallons}} = \frac{34 \text{ miles}}{2 \text{ gallons}} = 17 \text{ miles per gallon} \]
Next, we will use this fuel efficiency to determine how many gallons are needed for 425 miles:
\[ \text{Gallons needed} = \frac{\text{Distance to drive}}{\text{MPG}} = \frac{425 \text{ miles}}{17 \text{ miles per gallon}} = 25 \text{ gallons} \]
So, the correct answer is A: 25 gallons.