Math Problem Statement

If your car gets 31 miles per​ gallon, how much does it cost to drive 310 miles when gasoline costs ​$2.80 per​ gallon?

Solution

To solve this problem, we need to calculate the total cost of gasoline needed to drive 310 miles, given that the car gets 31 miles per gallon and gasoline costs $2.80 per gallon.

Step-by-Step Solution:

  1. Calculate the Number of Gallons Needed:

    If the car gets 31 miles per gallon, we can find the number of gallons required to drive 310 miles by dividing the total miles by the miles per gallon:

    Gallons needed=Total milesMiles per gallon=31031=10 gallons\text{Gallons needed} = \frac{\text{Total miles}}{\text{Miles per gallon}} = \frac{310}{31} = 10 \text{ gallons}

  2. Calculate the Total Cost:

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

    Total cost=Gallons needed×Cost per gallon=10×2.80=28 dollars\text{Total cost} = \text{Gallons needed} \times \text{Cost per gallon} = 10 \times 2.80 = 28 \text{ dollars}

Conclusion:

It costs $28.00 to drive 310 miles when gasoline costs $2.80 per gallon.

Would you like further details on any step, or do you have any other questions?

Related Questions:

  1. If gas prices increase to $3.50 per gallon, how much would the same trip cost?
  2. How many gallons would be needed to drive 500 miles with a car that gets 25 miles per gallon?
  3. If you only have a budget of $20 for gas, how many miles can you drive with your car?
  4. How would the cost change if the car's fuel efficiency improved to 40 miles per gallon?
  5. What is the cost per mile for a car with a 31 miles per gallon efficiency and $2.80 per gallon gas?

Tip:

Always check the fuel efficiency of your car to estimate costs accurately for long trips!

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Math Problem Analysis

Mathematical Concepts

Division
Multiplication
Rates

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8