If you car has an mpg of 34 and gas cost $4.25 a gallon, how many miles can you drive in a year if you want to keep your annual gas cost to no more than $1400?

To solve this problem, we need to determine how many miles you can drive in a year while keeping your annual gas cost within $1,400, given that your car has a fuel efficiency of 34 miles per gallon (mpg) and the cost of gas is $4.25 per gallon.

Let's break it down step by step:

1. **Determine the number of gallons you can buy with $1,400:**

   \[
   \text{Number of gallons} = \frac{\text{Total amount of money available}}{\text{Cost per gallon}} = \frac{1400}{4.25} = 329.41 \text{ gallons}
   \]

2. **Calculate the total miles you can drive:**

   \[
   \text{Total miles} = \text{Number of gallons} \times \text{Miles per gallon} = 329.41 \times 34 = 11,200 \text{ miles}
   \]

So, you can drive **11,200 miles** in a year while keeping your gas costs under $1,400.

Would you like more details, or do you have any other questions?

Here are 5 related questions you might find interesting:
1. How would the maximum miles change if the cost of gas increased to $5.00 per gallon?
2. What would be the total cost if you drove 15,000 miles in a year at the same mpg and gas cost?
3. How many gallons of gas would you need if you drove 20,000 miles in a year?
4. If your car's mpg improved to 40, how many miles could you drive for $1,400?
5. What would be your annual gas cost if you drove 10,000 miles at 34 mpg and gas cost $3.75 per gallon?

**Tip:** Always check how small changes in fuel efficiency or gas prices can significantly impact your driving budget.

Learn how to calculate the maximum annual mileage you can drive while keeping your gas costs under $1,400 per year. This problem involves arithmetic calculations based on gas mileage (34 mpg) and gas cost ($4.25 per gallon). Suitable for Grades 7-9.

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