Donald's Company Offers A Reimbursement Package Of $ 0.65 \$0.65 $0.65 Per Mile Plus $ 145 \$145 $145 A Year For Maintenance. If X X X Represents The Number Of Miles, Which Equation Below Models C C C , The Total Amount Of Reimbursement The

Introduction

In this article, we will delve into the world of mathematics and explore how to model a reimbursement package offered by Donald's company. The package consists of a reimbursement of $\$0.65$ per mile driven, plus an annual maintenance allowance of $\$145$. We will use algebraic equations to represent the total amount of reimbursement, denoted as $C$, in terms of the number of miles driven, represented by the variable $x$.

The Reimbursement Package

The reimbursement package offered by Donald's company can be broken down into two components:

1. Mileage Reimbursement: For every mile driven, the company reimburses $\$0.65$. This means that if the employee drives $x$ miles, the total mileage reimbursement would be $0.65x$.
2. Annual Maintenance Allowance: In addition to the mileage reimbursement, the company also provides an annual maintenance allowance of $\$145$. This is a fixed amount that is not dependent on the number of miles driven.

Modeling the Total Reimbursement

To model the total amount of reimbursement, denoted as $C$, we need to combine the mileage reimbursement and the annual maintenance allowance. Since the mileage reimbursement is directly proportional to the number of miles driven, we can represent it as $0.65x$. The annual maintenance allowance, being a fixed amount, can be represented as $145$. Therefore, the total amount of reimbursement, $C$, can be modeled as:

$$C = 0.65x + 145$$

Interpretation of the Model

The equation $C = 0.65x + 145$ represents the total amount of reimbursement, $C$, in terms of the number of miles driven, $x$. This equation can be interpreted as follows:

• For every mile driven, the employee receives a reimbursement of $\$0.65$.
• In addition to the mileage reimbursement, the employee also receives an annual maintenance allowance of $\$145$.

Example Scenario

To illustrate the use of this model, let's consider an example scenario. Suppose an employee drives $200$ miles in a year. Using the equation $C = 0.65x + 145$, we can calculate the total amount of reimbursement as follows:

$$C = 0.65(200) + 145 = 130 + 145 = 275$$

Therefore, the total amount of reimbursement for driving $200$ miles would be $\$275$.

Conclusion

In this article, we have explored how to model a reimbursement package offered by Donald's company. We have used algebraic equations to represent the total amount of reimbursement, denoted as $C$, in terms of the number of miles driven, represented by the variable $x$. The equation $C = 0.65x + 145$ provides a mathematical model for the reimbursement package, allowing us to calculate the total amount of reimbursement for any given number of miles driven.

Key Takeaways

• The reimbursement package offered by Donald's company consists of a mileage reimbursement of $\$0.65$ per mile driven, plus an annual maintenance allowance of $\$145$.
• The total amount of reimbursement, denoted as $C$, can be modeled as $C = 0.65x + 145$, where $x$ represents the number of miles driven.
• The equation $C = 0.65x + 145$ can be used to calculate the total amount of reimbursement for any given number of miles driven.
  Frequently Asked Questions: Understanding the Reimbursement Package ====================================================================

Introduction

In our previous article, we explored how to model a reimbursement package offered by Donald's company. We used algebraic equations to represent the total amount of reimbursement, denoted as $C$, in terms of the number of miles driven, represented by the variable $x$. In this article, we will address some frequently asked questions related to the reimbursement package and provide additional insights into its workings.

Q&A

Q: What is the mileage reimbursement rate?

A: The mileage reimbursement rate is $\$0.65$ per mile driven.

Q: What is the annual maintenance allowance?

A: The annual maintenance allowance is $\$145$.

Q: How is the total amount of reimbursement calculated?

A: The total amount of reimbursement, denoted as $C$, is calculated using the equation $C = 0.65x + 145$, where $x$ represents the number of miles driven.

Q: What happens if I drive more than 200 miles in a year?

A: If you drive more than 200 miles in a year, the total amount of reimbursement will be higher. You can use the equation $C = 0.65x + 145$ to calculate the total amount of reimbursement for any given number of miles driven.

Q: Can I use the reimbursement package for personal expenses?

A: The reimbursement package is intended for business-related expenses only. You should only use the package for expenses related to your job or work-related activities.

Q: How often will I receive the reimbursement?

A: The reimbursement will be paid out at the end of each year, based on the total number of miles driven during that year.

Q: Can I use the reimbursement package for fuel costs?

A: The reimbursement package is intended to cover mileage expenses only. Fuel costs are not included in the package.

Q: What happens if I have to pay for maintenance or repairs on my vehicle?

A: The annual maintenance allowance of $\$145$ is intended to cover routine maintenance and repairs. If you have to pay for additional maintenance or repairs, you may be able to claim these expenses separately.

Q: Can I use the reimbursement package for other types of expenses?

A: The reimbursement package is specifically designed for mileage expenses only. You should not use the package for other types of expenses, such as food, lodging, or entertainment.

Conclusion

In this article, we have addressed some frequently asked questions related to the reimbursement package offered by Donald's company. We hope that this information has provided additional insights into the workings of the package and has helped to clarify any confusion. If you have any further questions or concerns, please do not hesitate to contact us.

Key Takeaways

• The mileage reimbursement rate is $\$0.65$ per mile driven.
• The annual maintenance allowance is $\$145$.
• The total amount of reimbursement is calculated using the equation $C = 0.65x + 145$, where $x$ represents the number of miles driven.
• The reimbursement package is intended for business-related expenses only.
• The reimbursement will be paid out at the end of each year, based on the total number of miles driven during that year.