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

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Donald's company offers a reimbursement package that includes a certain amount per mile driven and a fixed annual maintenance fee. To model the total amount of reimbursement, we need to create an equation that takes into account both the mileage reimbursement and the maintenance fee.

The Reimbursement Package

The reimbursement package consists of two parts:

  • A mileage reimbursement of $0.65 per mile
  • A fixed annual maintenance fee of $145

Modeling the Total Amount of Reimbursement

Let's assume that the number of miles driven is represented by the variable x. We can create an equation to model the total amount of reimbursement, C, as follows:

C = 0.65x + 145

Breaking Down the Equation

In this equation, the term 0.65x represents the mileage reimbursement, which is calculated by multiplying the number of miles driven (x) by the mileage reimbursement rate ($0.65). The term 145 represents the fixed annual maintenance fee.

Understanding the Equation

To understand the equation, let's consider an example. Suppose Donald drives 200 miles in a year. The mileage reimbursement would be 0.65(200) = $130. The total amount of reimbursement would be the sum of the mileage reimbursement and the maintenance fee, which is $130 + $145 = $275.

Solving for x

To solve for x, we need to isolate the variable x on one side of the equation. We can do this by subtracting 145 from both sides of the equation:

C - 145 = 0.65x

Dividing both sides of the equation by 0.65 gives us:

x = (C - 145) / 0.65

Example

Suppose the total amount of reimbursement is $275. We can substitute this value into the equation to solve for x:

x = (275 - 145) / 0.65 x = 130 / 0.65 x = 200

Therefore, Donald drives 200 miles in a year.

Conclusion

In conclusion, the equation C = 0.65x + 145 models the total amount of reimbursement, where C is the total amount of reimbursement and x is the number of miles driven. By understanding the equation and solving for x, we can determine the number of miles driven based on the total amount of reimbursement.

Key Takeaways

  • The equation C = 0.65x + 145 models the total amount of reimbursement.
  • The term 0.65x represents the mileage reimbursement.
  • The term 145 represents the fixed annual maintenance fee.
  • To solve for x, we need to isolate the variable x on one side of the equation.
  • We can use the equation to determine the number of miles driven based on the total amount of reimbursement.
    Frequently Asked Questions (FAQs) =====================================

Q: What is the reimbursement package offered by Donald's company?

A: The reimbursement package offered by Donald's company includes a mileage reimbursement of $0.65 per mile and a fixed annual maintenance fee of $145.

Q: How is the mileage reimbursement calculated?

A: The mileage reimbursement is calculated by multiplying the number of miles driven (x) by the mileage reimbursement rate ($0.65).

Q: What is the fixed annual maintenance fee?

A: The fixed annual maintenance fee is $145.

Q: How do I calculate the total amount of reimbursement?

A: To calculate the total amount of reimbursement, you can use the equation C = 0.65x + 145, where C is the total amount of reimbursement and x is the number of miles driven.

Q: How do I solve for x in the equation C = 0.65x + 145?

A: To solve for x, you need to isolate the variable x on one side of the equation. You can do this by subtracting 145 from both sides of the equation and then dividing both sides by 0.65.

Q: What is the equation C = 0.65x + 145 used for?

A: The equation C = 0.65x + 145 is used to model the total amount of reimbursement, where C is the total amount of reimbursement and x is the number of miles driven.

Q: Can I use the equation C = 0.65x + 145 to determine the number of miles driven?

A: Yes, you can use the equation C = 0.65x + 145 to determine the number of miles driven based on the total amount of reimbursement.

Q: What if I want to find the total amount of reimbursement for a specific number of miles driven?

A: To find the total amount of reimbursement for a specific number of miles driven, you can substitute the number of miles driven into the equation C = 0.65x + 145 and solve for C.

Q: Can I use the equation C = 0.65x + 145 for any number of miles driven?

A: Yes, you can use the equation C = 0.65x + 145 for any number of miles driven.

Q: What if I want to change the mileage reimbursement rate or the fixed annual maintenance fee?

A: If you want to change the mileage reimbursement rate or the fixed annual maintenance fee, you will need to update the equation C = 0.65x + 145 accordingly.

Q: Can I use the equation C = 0.65x + 145 for other types of reimbursement packages?

A: The equation C = 0.65x + 145 is specific to the reimbursement package offered by Donald's company and may not be applicable to other types of reimbursement packages.

Conclusion

In conclusion, the equation C = 0.65x + 145 is a useful tool for modeling the total amount of reimbursement, where C is the total amount of reimbursement and x is the number of miles driven. By understanding the equation and solving for x, you can determine the number of miles driven based on the total amount of reimbursement.