Tim's Company Offers A Reimbursement Package Of \[$\$0.45\$\] Per Mile Plus \[$\$175\$\] A Year For Maintenance. If \[$x\$\] Represents The Number Of Miles, Which Equation Below Models \[$C\$\], The Total Amount Of
Introduction
In this article, we will delve into the world of mathematics and explore how to model a reimbursement package offered by Tim's company. The package consists of a reimbursement of $0.45 per mile plus a yearly maintenance allowance of $175. We will use algebraic equations to represent the total amount of reimbursement, denoted by C, in terms of the number of miles, x.
The Reimbursement Package
The reimbursement package offered by Tim's company can be broken down into two components:
- A reimbursement of $0.45 per mile
- A yearly maintenance allowance of $175
Modeling the Reimbursement Package
Let's assume that x represents the number of miles driven. The total amount of reimbursement, C, can be modeled using the following equation:
C = 0.45x + 175
Breaking Down the Equation
The equation C = 0.45x + 175 can be broken down into two parts:
- The first part, 0.45x, represents the reimbursement for the number of miles driven.
- The second part, 175, represents the yearly maintenance allowance.
Understanding the Equation
To understand the equation, let's consider an example. Suppose Tim drives 100 miles. The reimbursement for the number of miles driven would be 0.45 * 100 = $45. Adding the yearly maintenance allowance of $175, the total amount of reimbursement would be $45 + $175 = $220.
Graphing the Equation
The equation C = 0.45x + 175 can be graphed on a coordinate plane. The graph would be a straight line with a slope of 0.45 and a y-intercept of 175.
Solving for x
To solve for x, we need to isolate x on one side of the equation. We can do this by subtracting 175 from both sides of the equation:
C - 175 = 0.45x
Next, we can divide both sides of the equation by 0.45:
x = (C - 175) / 0.45
Conclusion
In this article, we have explored how to model a reimbursement package offered by Tim's company using algebraic equations. The equation C = 0.45x + 175 represents the total amount of reimbursement in terms of the number of miles driven. We have also broken down the equation into two parts, graphed the equation, and solved for x.
Frequently Asked Questions
Q: What is the reimbursement package offered by Tim's company?
A: The reimbursement package consists of a reimbursement of $0.45 per mile plus a yearly maintenance allowance of $175.
Q: How can we model the reimbursement package using algebraic equations?
A: We can model the reimbursement package using the equation C = 0.45x + 175, where C represents the total amount of reimbursement and x represents the number of miles driven.
Q: How can we solve for x in the equation C = 0.45x + 175?
A: We can solve for x by subtracting 175 from both sides of the equation and then dividing both sides of the equation by 0.45.
Q: What is the slope and y-intercept of the graph of the equation C = 0.45x + 175?
A: The slope of the graph is 0.45 and the y-intercept is 175.
Q: How can we use the equation C = 0.45x + 175 to calculate the total amount of reimbursement?
A: We can use the equation to calculate the total amount of reimbursement by plugging in the value of x, which represents the number of miles driven.
References
- Algebraic Equations
- Graphing Linear Equations
- Solving Linear Equations
Tim's Reimbursement Package: A Q&A Guide =============================================
Introduction
In our previous article, we explored how to model a reimbursement package offered by Tim's company using algebraic equations. The package consists of a reimbursement of $0.45 per mile plus a yearly maintenance allowance of $175. In this article, we will answer some frequently asked questions about the reimbursement package and provide additional information to help you understand the package better.
Q&A
Q: What is the reimbursement package offered by Tim's company?
A: The reimbursement package consists of a reimbursement of $0.45 per mile plus a yearly maintenance allowance of $175.
Q: How can I calculate the total amount of reimbursement?
A: To calculate the total amount of reimbursement, you can use the equation C = 0.45x + 175, where C represents the total amount of reimbursement and x represents the number of miles driven.
Q: What is the slope and y-intercept of the graph of the equation C = 0.45x + 175?
A: The slope of the graph is 0.45 and the y-intercept is 175.
Q: How can I use the equation C = 0.45x + 175 to calculate the total amount of reimbursement for a specific number of miles?
A: To calculate the total amount of reimbursement for a specific number of miles, you can plug in the value of x into the equation C = 0.45x + 175. For example, if you drive 100 miles, the total amount of reimbursement would be C = 0.45(100) + 175 = $220.
Q: What is the yearly maintenance allowance?
A: The yearly maintenance allowance is $175.
Q: How can I increase my reimbursement amount?
A: To increase your reimbursement amount, you can drive more miles. The reimbursement amount is calculated based on the number of miles driven, so the more miles you drive, the higher your reimbursement amount will be.
Q: Can I use the reimbursement package for personal use?
A: The reimbursement package is intended for business use only. If you use the reimbursement package for personal use, you may be subject to penalties or fines.
Q: How can I track my mileage?
A: You can track your mileage by keeping a log of the miles you drive for business purposes. You can also use a mileage tracking app or spreadsheet to help you keep track of your mileage.
Q: What is the deadline for submitting my reimbursement claim?
A: The deadline for submitting your reimbursement claim is typically the end of the month or the end of the quarter, depending on your company's policies.
Q: How can I submit my reimbursement claim?
A: You can submit your reimbursement claim by filling out a reimbursement form and submitting it to your company's accounting department.
Conclusion
In this article, we have answered some frequently asked questions about Tim's reimbursement package and provided additional information to help you understand the package better. We hope this article has been helpful in answering your questions and providing you with a better understanding of the reimbursement package.
Frequently Asked Questions (FAQs)
Q: What is the reimbursement package offered by Tim's company?
A: The reimbursement package consists of a reimbursement of $0.45 per mile plus a yearly maintenance allowance of $175.
Q: How can I calculate the total amount of reimbursement?
A: To calculate the total amount of reimbursement, you can use the equation C = 0.45x + 175, where C represents the total amount of reimbursement and x represents the number of miles driven.
Q: What is the slope and y-intercept of the graph of the equation C = 0.45x + 175?
A: The slope of the graph is 0.45 and the y-intercept is 175.
Q: How can I use the equation C = 0.45x + 175 to calculate the total amount of reimbursement for a specific number of miles?
A: To calculate the total amount of reimbursement for a specific number of miles, you can plug in the value of x into the equation C = 0.45x + 175.