Suppose you are going on a weekend trip to a city that is d miles away. Develop a model that determines your round-trip gasoline costs?
2d = distance covered
2d/(mpg) = gallons of gas consumed
2d*C/mpg = cost of gas
C is the cost of a gallon of gas
mpg is the miles per gallon of the car
To develop a model that determines your round-trip gasoline costs, you would need to consider a few factors:
1. Fuel efficiency of your vehicle: Determine the average fuel consumption of your vehicle, typically measured in miles per gallon (MPG) or liters per kilometer (L/100km). This information is usually provided by the manufacturer or can be found in the vehicle's manual.
2. Distance to the city: Determine the distance to the city you are planning to visit, measured in miles or kilometers. Let's use 'd' to represent this distance.
3. Gasoline price: Check the current price of gasoline in the area you are in or where you plan to fill up. This can be found on various websites or apps, or by visiting nearby gas stations.
With these factors in mind, we can calculate the round-trip gasoline costs using the following formula:
Total fuel cost = (2d / MPG or L/100km) * Price per unit of fuel
Let's break down the components of this formula:
- 2d: Multiplying the distance by 2 gives you the round-trip distance.
- MPG or L/100km: Divide the total distance by the fuel efficiency of your vehicle to determine the total fuel consumption.
- Price per unit of fuel: Multiply the total fuel consumption by the current price of gasoline to get the total fuel cost.
By plugging in the values for distance, fuel efficiency, and gasoline price into this formula, you can obtain an estimate of your round-trip gasoline costs for the weekend trip.
To determine the round-trip gasoline costs for a weekend trip to a city that is d miles away, you can follow these steps:
Step 1: Determine the average mileage of your vehicle
- Check your vehicle's fuel efficiency specifications or refer to the manufacturer's manual to find the average mileage (miles per gallon or MPG) it can achieve.
Step 2: Calculate the total amount of fuel needed for the trip
- Divide the total distance of the trip (d miles) by the average mileage of your vehicle to get the total gallons of fuel required. Use the formula: total fuel = d / average mileage.
Step 3: Estimate the cost of fuel per gallon
- Check the current average fuel price in your area or refer to a reliable online source to find the cost per gallon of gasoline.
Step 4: Calculate the round-trip gasoline costs
- Multiply the total fuel required (from step 2) by the estimated cost of fuel per gallon (from step 3) to get the total cost of gasoline for the round-trip.
Example Calculation:
Suppose the distance to the city (d) is 200 miles.
Assuming your vehicle has an average mileage of 30 MPG.
Assuming the cost of fuel per gallon is $2.50.
Step 1: Average mileage = 30 MPG
Step 2: Total fuel required = 200 miles / 30 MPG = 6.67 gallons
Step 3: Estimated cost per gallon = $2.50
Step 4: Round-trip gasoline costs = 6.67 gallons * $2.50/gallon = $16.67
Therefore, the round-trip gasoline costs for the weekend trip to the city would be approximately $16.67.