The Blakely Family Has Driven 50 Miles Of A 200-mile Trip. Their Car Travels 30 Miles Per Gallon Of Gas. How Many Gallons Of Gasoline, { G $}$, Will The Car Use On The Remainder Of The Trip?A. { 2 \frac{1}{2} $}$ Gallons B. 4

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Introduction

The Blakely family is embarking on a 200-mile road trip, and they have already driven 50 miles. To determine how many gallons of gasoline their car will use on the remainder of the trip, we need to calculate the total amount of gasoline required to cover the remaining distance. In this article, we will explore the concept of gasoline consumption and provide a step-by-step solution to the problem.

Understanding Gasoline Consumption

Gasoline consumption is a critical factor to consider when planning a road trip. It is essential to know how much gasoline your car will use to cover a certain distance, as it can affect the overall cost of the trip and the environmental impact. In this case, the Blakely family's car travels 30 miles per gallon of gas, which means that for every gallon of gasoline, the car can cover 30 miles.

Calculating the Remaining Distance

To calculate the remaining distance, we need to subtract the distance already covered (50 miles) from the total distance of the trip (200 miles).

200 miles (total distance) - 50 miles (distance already covered) = 150 miles (remaining distance)

Calculating the Gasoline Consumption

Now that we know the remaining distance, we can calculate the gasoline consumption required to cover this distance. Since the car travels 30 miles per gallon, we can divide the remaining distance (150 miles) by the car's mileage per gallon (30 miles/gallon) to determine the total amount of gasoline required.

150 miles (remaining distance) ÷ 30 miles/gallon = 5 gallons (total gasoline consumption)

However, this is not the only answer choice provided. Let's re-examine the problem and see if we can find any other possible solutions.

Alternative Solution

Upon re-examining the problem, we can see that the question asks for the amount of gasoline required to cover the remainder of the trip. This implies that we need to consider the entire remaining distance, not just the distance covered by the car's mileage per gallon.

To calculate the gasoline consumption, we can divide the remaining distance (150 miles) by the car's mileage per gallon (30 miles/gallon). However, we need to consider that the car's mileage per gallon is not a fixed value, but rather a variable that depends on the car's speed and other factors.

In this case, we can assume that the car's mileage per gallon is constant, and we can use the formula:

Gasoline consumption = Remaining distance ÷ Mileage per gallon

Substituting the values, we get:

Gasoline consumption = 150 miles ÷ 30 miles/gallon = 5 gallons

However, this is not the only possible solution. Let's consider another approach.

Using a Different Formula

Another way to calculate the gasoline consumption is to use the formula:

Gasoline consumption = Total distance ÷ Mileage per gallon - Distance already covered ÷ Mileage per gallon

Substituting the values, we get:

Gasoline consumption = 200 miles ÷ 30 miles/gallon - 50 miles ÷ 30 miles/gallon = 6.67 gallons - 1.67 gallons = 5 gallons

However, this formula is not necessary to solve the problem. We can use a simpler formula:

Gasoline consumption = Remaining distance ÷ Mileage per gallon

Substituting the values, we get:

Gasoline consumption = 150 miles ÷ 30 miles/gallon = 5 gallons

Conclusion

In conclusion, the Blakely family's car will use 5 gallons of gasoline to cover the remainder of the 200-mile trip. This calculation assumes that the car's mileage per gallon is constant and that the remaining distance is 150 miles.

Discussion

The problem presented in this article is a classic example of a mathematical problem that requires the application of basic algebraic concepts. The solution involves calculating the gasoline consumption required to cover the remaining distance of the trip, which is a critical factor to consider when planning a road trip.

The problem also highlights the importance of understanding the concept of gasoline consumption and how it can affect the overall cost and environmental impact of a road trip. By using the correct formula and making the necessary calculations, we can determine the amount of gasoline required to cover the remaining distance and plan our trip accordingly.

References

Appendix

The following is a list of formulas and equations used in this article:

  • Gasoline consumption = Remaining distance ÷ Mileage per gallon
  • Gasoline consumption = Total distance ÷ Mileage per gallon - Distance already covered ÷ Mileage per gallon

Introduction

In our previous article, we explored the concept of gasoline consumption and calculated the amount of gasoline required to cover the remainder of the Blakely family's 200-mile road trip. In this article, we will answer some frequently asked questions related to the problem and provide additional insights into the world of road trip planning.

Q&A

Q: What is the formula for calculating gasoline consumption?

A: The formula for calculating gasoline consumption is:

Gasoline consumption = Remaining distance ÷ Mileage per gallon

Q: What is the mileage per gallon of the Blakely family's car?

A: The mileage per gallon of the Blakely family's car is 30 miles per gallon.

Q: How many gallons of gasoline will the car use on the remainder of the trip?

A: Based on the calculation, the car will use 5 gallons of gasoline to cover the remainder of the 200-mile trip.

Q: What if the car's mileage per gallon changes during the trip?

A: If the car's mileage per gallon changes during the trip, the calculation will need to be adjusted accordingly. However, for the purpose of this problem, we assume that the mileage per gallon remains constant.

Q: Can I use a different formula to calculate gasoline consumption?

A: Yes, you can use a different formula to calculate gasoline consumption. However, the formula we used in this article is a simple and effective way to calculate gasoline consumption.

Q: How can I plan a road trip to minimize gasoline consumption?

A: To plan a road trip to minimize gasoline consumption, you can consider the following tips:

  • Plan your route in advance to avoid unnecessary detours and traffic congestion.
  • Use a GPS or mapping app to find the most fuel-efficient route.
  • Avoid driving during peak traffic hours.
  • Use a fuel-efficient vehicle.
  • Keep your vehicle well-maintained to ensure optimal fuel efficiency.

Q: What are some other factors that affect gasoline consumption?

A: Some other factors that affect gasoline consumption include:

  • Weather conditions (e.g., temperature, humidity)
  • Road conditions (e.g., terrain, traffic)
  • Vehicle weight and load
  • Driving style (e.g., aggressive driving, smooth acceleration)

Q: How can I estimate the cost of gasoline for a road trip?

A: To estimate the cost of gasoline for a road trip, you can use the following formula:

Cost of gasoline = Total distance ÷ Mileage per gallon × Price per gallon

Q: What are some tips for saving money on gasoline?

A: Some tips for saving money on gasoline include:

  • Plan your route in advance to avoid unnecessary detours and traffic congestion.
  • Use a fuel-efficient vehicle.
  • Keep your vehicle well-maintained to ensure optimal fuel efficiency.
  • Avoid driving during peak traffic hours.
  • Use a gas price comparison app to find the cheapest gas prices.

Conclusion

In conclusion, the Blakely family's road trip is a great example of how to calculate gasoline consumption and plan a road trip to minimize fuel costs. By using the correct formula and considering various factors that affect gasoline consumption, you can plan a successful and cost-effective road trip.

Discussion

The problem presented in this article is a classic example of a mathematical problem that requires the application of basic algebraic concepts. The solution involves calculating the gasoline consumption required to cover the remaining distance of the trip, which is a critical factor to consider when planning a road trip.

The problem also highlights the importance of understanding the concept of gasoline consumption and how it can affect the overall cost and environmental impact of a road trip. By using the correct formula and making the necessary calculations, we can determine the amount of gasoline required to cover the remaining distance and plan our trip accordingly.

References

Appendix

The following is a list of formulas and equations used in this article:

  • Gasoline consumption = Remaining distance ÷ Mileage per gallon
  • Cost of gasoline = Total distance ÷ Mileage per gallon × Price per gallon

Note: The formulas and equations used in this article are for illustrative purposes only and may not be applicable to all situations.