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Answer :
To solve this question, we need to model the reimbursement package offered by Donald's company using an equation. The reimbursement is composed of two parts:
1. A mileage reimbursement of \[tex]$0.65 per mile.
2. An annual maintenance reimbursement of \$[/tex]145.
We are asked to express the total reimbursement, [tex]\( C \)[/tex], as an equation where [tex]\( x \)[/tex] represents the number of miles driven.
Let's break it down step-by-step:
1. Mileage Reimbursement:
- For each mile driven, the reimbursement is \[tex]$0.65.
- So, if \( x \) miles are driven, the total mileage reimbursement would be \( 0.65 \times x \).
2. Annual Maintenance Reimbursement:
- Regardless of the miles driven, there is a fixed reimbursement of \$[/tex]145 for maintenance.
3. Total Reimbursement:
- To find the total reimbursement, we combine the mileage reimbursement and the annual maintenance reimbursement.
- This gives us the expression:
[tex]\[
C = 0.65x + 145
\][/tex]
Now, looking at the answer choices provided:
- A. [tex]\( C = 0.65 + 145x \)[/tex]
- B. [tex]\( C = 65 + 145x \)[/tex]
- C. [tex]\( C = 0.65x + 145 \)[/tex]
- D. [tex]\( C = 65x + 145 \)[/tex]
The correct equation, which models the total amount of reimbursement, is:
C. [tex]\( C = 0.65x + 145 \)[/tex]
This option reflects that for each mile driven, you receive \[tex]$0.65, in addition to a fixed annual reimbursement of \$[/tex]145.
1. A mileage reimbursement of \[tex]$0.65 per mile.
2. An annual maintenance reimbursement of \$[/tex]145.
We are asked to express the total reimbursement, [tex]\( C \)[/tex], as an equation where [tex]\( x \)[/tex] represents the number of miles driven.
Let's break it down step-by-step:
1. Mileage Reimbursement:
- For each mile driven, the reimbursement is \[tex]$0.65.
- So, if \( x \) miles are driven, the total mileage reimbursement would be \( 0.65 \times x \).
2. Annual Maintenance Reimbursement:
- Regardless of the miles driven, there is a fixed reimbursement of \$[/tex]145 for maintenance.
3. Total Reimbursement:
- To find the total reimbursement, we combine the mileage reimbursement and the annual maintenance reimbursement.
- This gives us the expression:
[tex]\[
C = 0.65x + 145
\][/tex]
Now, looking at the answer choices provided:
- A. [tex]\( C = 0.65 + 145x \)[/tex]
- B. [tex]\( C = 65 + 145x \)[/tex]
- C. [tex]\( C = 0.65x + 145 \)[/tex]
- D. [tex]\( C = 65x + 145 \)[/tex]
The correct equation, which models the total amount of reimbursement, is:
C. [tex]\( C = 0.65x + 145 \)[/tex]
This option reflects that for each mile driven, you receive \[tex]$0.65, in addition to a fixed annual reimbursement of \$[/tex]145.
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