We appreciate your visit to Donald s company offers a reimbursement package of tex 0 65 tex per mile plus tex 145 tex a year for maintenance If tex x. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Let's break down the reimbursement package that Donald's company offers to understand the total amount of reimbursement, [tex]\( C \)[/tex].
1. Reimbursement per Mile:
- The company reimburses [tex]$0.65 per mile driven. If \( x \) represents the number of miles driven, then the reimbursement amount based on miles is \( 0.65x \).
2. Annual Maintenance Fee:
- Apart from the mileage reimbursement, the company offers a fixed annual maintenance reimbursement of $[/tex]145, regardless of the miles driven.
3. Combining Both Components:
- To find the total reimbursement, [tex]\( C \)[/tex], we add the reimbursement per mile to the annual maintenance fee. Thus, the total amount can be expressed as:
[tex]\[
C = 0.65x + 145
\][/tex]
Now, let's match this equation to the options provided:
- Option A: [tex]\( C = 0.65 + 145x \)[/tex] (Incorrect)
- Option B: [tex]\( C = 65x + 145 \)[/tex] (Incorrect)
- Option C: [tex]\( C = 0.65x + 145 \)[/tex] (Correct)
- Option D: [tex]\( C = 65 + 145x \)[/tex] (Incorrect)
Therefore, the correct equation that models the total amount of reimbursement is Option C: [tex]\( C = 0.65x + 145 \)[/tex].
1. Reimbursement per Mile:
- The company reimburses [tex]$0.65 per mile driven. If \( x \) represents the number of miles driven, then the reimbursement amount based on miles is \( 0.65x \).
2. Annual Maintenance Fee:
- Apart from the mileage reimbursement, the company offers a fixed annual maintenance reimbursement of $[/tex]145, regardless of the miles driven.
3. Combining Both Components:
- To find the total reimbursement, [tex]\( C \)[/tex], we add the reimbursement per mile to the annual maintenance fee. Thus, the total amount can be expressed as:
[tex]\[
C = 0.65x + 145
\][/tex]
Now, let's match this equation to the options provided:
- Option A: [tex]\( C = 0.65 + 145x \)[/tex] (Incorrect)
- Option B: [tex]\( C = 65x + 145 \)[/tex] (Incorrect)
- Option C: [tex]\( C = 0.65x + 145 \)[/tex] (Correct)
- Option D: [tex]\( C = 65 + 145x \)[/tex] (Incorrect)
Therefore, the correct equation that models the total amount of reimbursement is Option C: [tex]\( C = 0.65x + 145 \)[/tex].
Thanks for taking the time to read Donald s company offers a reimbursement package of tex 0 65 tex per mile plus tex 145 tex a year for maintenance If tex x. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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