The Allied Taxi Company Charges $\$ 2.50$ To Pick Up A Passenger And Then Adds $\$ 1.95$ Per Mile. Isaac Was Charged $\$ 27.46$ To Go From One City To Another. If $x$ Represents The Number Of

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Introduction

In this article, we will delve into the world of mathematics and explore a real-world scenario involving the Allied Taxi Company. The company charges a base fee of $2.50 to pick up a passenger and then adds an additional $1.95 per mile traveled. We will use this information to create an equation and solve for the number of miles traveled by Isaac, who was charged $27.46 for his trip.

The Problem

Let's break down the problem and identify the key elements:

  • The base fee is $2.50
  • The additional fee per mile is $1.95
  • Isaac was charged a total of $27.46

We can represent the total cost as the sum of the base fee and the additional fee per mile multiplied by the number of miles traveled. Let's denote the number of miles traveled as x.

The Equation

We can write an equation to represent the total cost:

2.50 + 1.95x = 27.46

Solving the Equation

To solve for x, we need to isolate the variable x. We can do this by subtracting 2.50 from both sides of the equation:

1.95x = 27.46 - 2.50 1.95x = 24.96

Next, we can divide both sides of the equation by 1.95 to solve for x:

x = 24.96 / 1.95 x = 12.8

Interpretation

So, Isaac traveled approximately 12.8 miles from one city to another. This is a real-world application of algebraic equations, where we used the given information to create an equation and solve for the unknown variable.

Conclusion

In this article, we explored a real-world scenario involving the Allied Taxi Company and used algebraic equations to solve for the number of miles traveled by Isaac. This is just one example of how mathematics is used in everyday life, and we hope this article has provided a clear and concise explanation of the problem and its solution.

Additional Information

  • The Allied Taxi Company charges a base fee of $2.50 to pick up a passenger.
  • The additional fee per mile is $1.95.
  • Isaac was charged a total of $27.46 for his trip.
  • The number of miles traveled by Isaac is approximately 12.8.

Mathematical Concepts

  • Algebraic equations
  • Solving for unknown variables
  • Real-world applications of mathematics

References

Further Reading

  • For more information on algebraic equations and real-world applications of mathematics, please visit the following resources:
    • Khan Academy: Algebra
    • Math Is Fun: Algebra
    • Wolfram MathWorld: Algebra
      The Allied Taxi Company Charges: A Q&A Article =====================================================

Introduction

In our previous article, we explored the Allied Taxi Company's charges and used algebraic equations to solve for the number of miles traveled by Isaac. In this article, we will answer some frequently asked questions (FAQs) related to the Allied Taxi Company's charges and provide additional information to help you better understand the topic.

Q&A

Q: What is the base fee charged by the Allied Taxi Company?

A: The base fee charged by the Allied Taxi Company is $2.50.

Q: How much does the Allied Taxi Company charge per mile?

A: The Allied Taxi Company charges $1.95 per mile.

Q: How much was Isaac charged for his trip?

A: Isaac was charged a total of $27.46 for his trip.

Q: How many miles did Isaac travel?

A: Isaac traveled approximately 12.8 miles.

Q: Can I use the Allied Taxi Company's charges to calculate the cost of my own trip?

A: Yes, you can use the Allied Taxi Company's charges to calculate the cost of your own trip. Simply add the base fee to the additional fee per mile multiplied by the number of miles you travel.

Q: What if I travel a different number of miles than Isaac?

A: If you travel a different number of miles than Isaac, you can simply substitute the number of miles you travel into the equation to calculate the cost of your trip.

Q: Can I use this information to calculate the cost of a trip to a different city?

A: Yes, you can use this information to calculate the cost of a trip to a different city. Simply substitute the number of miles you travel into the equation to calculate the cost of your trip.

Q: Are there any other fees or charges that I should be aware of?

A: Yes, there may be other fees or charges that you should be aware of, such as tolls or parking fees. Be sure to check with the Allied Taxi Company or your local government for more information.

Additional Information

  • The Allied Taxi Company charges a base fee of $2.50 to pick up a passenger.
  • The additional fee per mile is $1.95.
  • Isaac was charged a total of $27.46 for his trip.
  • The number of miles traveled by Isaac is approximately 12.8.

Mathematical Concepts

  • Algebraic equations
  • Solving for unknown variables
  • Real-world applications of mathematics

References

Further Reading

  • For more information on algebraic equations and real-world applications of mathematics, please visit the following resources:
    • Khan Academy: Algebra
    • Math Is Fun: Algebra
    • Wolfram MathWorld: Algebra

Tips and Tricks

  • Always check with the Allied Taxi Company or your local government for the most up-to-date information on rates and fees.
  • Be sure to calculate the cost of your trip accurately to avoid any unexpected charges.
  • Consider using a calculator or spreadsheet to help you calculate the cost of your trip.

Conclusion

In this article, we answered some frequently asked questions (FAQs) related to the Allied Taxi Company's charges and provided additional information to help you better understand the topic. We hope this article has been helpful in answering your questions and providing you with a better understanding of the Allied Taxi Company's charges.