Math Problem Statement

The new VW Jetta has an EPA highway rating of 41 miles per gallon. You plan to make a summer road trip from Morrisville, New York to Myrtle Beach, South Carolina. The distance is about 788 miles one way.

If the primary route to Myrtle Beach is I-95 south (highway driving), how many gallons of fuel will you need for the whole trip, there and back?

If fuel costs an average $3.85 per gallon, what will be the total fuel cost for the whole trip?

Solution

Let's break the problem into two parts:

Part 1: Calculating the total fuel needed

The trip is from Morrisville, New York to Myrtle Beach, South Carolina, with a one-way distance of 788 miles.

  • The car has an EPA highway rating of 41 miles per gallon (mpg).
  • Total distance for the round trip (there and back) is 788×2=1576788 \times 2 = 1576 miles.

To calculate the total fuel needed:

Fuel needed=Total distanceMiles per gallon=15764138.44gallons\text{Fuel needed} = \frac{\text{Total distance}}{\text{Miles per gallon}} = \frac{1576}{41} \approx 38.44 \, \text{gallons}

Part 2: Calculating the total fuel cost

  • Fuel costs $3.85 per gallon.
  • Total fuel cost:

Total cost=Fuel needed×Fuel cost per gallon=38.44×3.85148.98USD\text{Total cost} = \text{Fuel needed} \times \text{Fuel cost per gallon} = 38.44 \times 3.85 \approx 148.98 \, \text{USD}

Conclusion:

  • Total fuel needed: 38.44 gallons
  • Total fuel cost: $148.98

Would you like any more details or explanations on this? Here are some related questions:

  1. What is the average fuel consumption for other types of vehicles on this trip?
  2. How would driving conditions affect the actual fuel consumption?
  3. What impact would taking a longer route have on fuel costs?
  4. How much money would you save if fuel prices dropped by 10%?
  5. What would be the fuel cost if your car had a highway rating of 35 mpg instead?

Tip: Checking your tire pressure regularly can help improve fuel efficiency on long trips.

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Math Problem Analysis

Mathematical Concepts

Distance and rate
Fuel efficiency
Unit conversion
Basic arithmetic

Formulas

Fuel needed = Total distance / Miles per gallon
Total cost = Fuel needed * Fuel cost per gallon

Theorems

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Suitable Grade Level

Grades 6-8