To determine how many miles you can drive in a year while keeping your annual gas cost under $1400, given that your car has a fuel efficiency of 34 miles per gallon (mpg) and gas costs $4.25 per gallon, follow these steps:

Step 1: Calculate the maximum number of gallons you can buy with $1400.

$\text{Max gallons} = \frac{\text{Total budget}}{\text{Cost per gallon}} = \frac{1400}{4.25} \approx 329.41 \text{ gallons}$

Step 2: Calculate how many miles you can drive with this amount of fuel.

$\text{Total miles} = \text{Max gallons} \times \text{Fuel efficiency (mpg)} = 329.41 \times 34 \approx 11200 \text{ miles}$

So, you can drive 11,200 miles in a year if you want to keep your gas cost to no more than $1400.

Would you like further details or have any other questions?

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Here are 5 related questions for further exploration:

1. How would a change in gas price affect the total miles you can drive?
2. What if your car's mpg drops by 10%? How would this impact your driving limit?
3. How much would your gas cost if you drove an additional 1,000 miles?
4. If gas prices fluctuate throughout the year, how can you adjust your driving habits to stay within the $1400 budget?
5. What other factors, like vehicle maintenance or road conditions, can affect your fuel efficiency?

Tip: Regularly checking your tire pressure can improve fuel efficiency, helping you save on fuel costs.