Math Problem Statement

If your car gets 29 miles to the gallon, how much does it cost to drive 440 miles when gasoline costs $2.80 per gallon?

Solution

To solve this problem, we need to determine two things:

  1. The amount of gasoline required to drive 440 miles.
  2. The total cost of the gasoline needed.

Step 1: Calculate the amount of gasoline required

You know that your car gets 29 miles per gallon (mpg). To find out how many gallons of gasoline are needed to drive 440 miles, use the following formula:

Gallons needed=Total miles drivenMiles per gallon\text{Gallons needed} = \frac{\text{Total miles driven}}{\text{Miles per gallon}}

Gallons needed=440 miles29 mpg15.17 gallons\text{Gallons needed} = \frac{440 \text{ miles}}{29 \text{ mpg}} \approx 15.17 \text{ gallons}

Step 2: Calculate the total cost of the gasoline

Now, multiply the number of gallons by the cost per gallon:

Total cost=Gallons needed×Cost per gallon\text{Total cost} = \text{Gallons needed} \times \text{Cost per gallon}

Total cost=15.17 gallons×$2.80/gallon$42.48\text{Total cost} = 15.17 \text{ gallons} \times \$2.80/\text{gallon} \approx \$42.48

Conclusion

The cost to drive 440 miles when gasoline costs $2.80 per gallon is approximately $42.48.

Would you like more details or have any other questions?

Here are some related questions you might find useful:

  1. How do you calculate the cost per mile for a trip?
  2. What if the gasoline price increases to $3.50 per gallon?
  3. How do different fuel efficiencies affect travel costs?
  4. How does driving at different speeds impact fuel efficiency?
  5. What are some ways to improve your car's fuel efficiency?

Tip: Keeping your tires properly inflated can help improve your car’s fuel efficiency, saving you money on long trips.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Division
Multiplication

Formulas

Gas mileage calculation

Theorems

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Suitable Grade Level

Grades 6-8