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 :
To solve the problem and determine the correct equation for the total amount of reimbursement, we need to understand the components of the reimbursement package.
1. Reimbursement per Mile: The company offers [tex]$0.65 per mile. This means for every mile Donald travels, he gets $[/tex]0.65. If [tex]\( x \)[/tex] represents the number of miles traveled, then the reimbursement for the miles traveled can be expressed as [tex]\( 0.65 \times x \)[/tex].
2. Yearly Maintenance Reimbursement: Additionally, the company provides a fixed reimbursement of $145 each year for maintenance, regardless of the number of miles traveled.
3. Total Reimbursement (C): The total reimbursement [tex]\( C \)[/tex] is the sum of the mileage reimbursement and the yearly maintenance reimbursement. Therefore, the equation that models the total reimbursement can be given by:
[tex]\[
C = 0.65x + 145
\][/tex]
Now, looking at the provided options:
- Option A: [tex]\( C = 0.65x + 145 \)[/tex] is exactly the same as our identified equation for total reimbursement.
- Option B, C, and D: These options do not correctly represent the reimbursement structure as described because they either swap the constant and variable terms or use incorrect coefficients.
Therefore, the correct answer is A. [tex]\( C = 0.65x + 145 \)[/tex].
1. Reimbursement per Mile: The company offers [tex]$0.65 per mile. This means for every mile Donald travels, he gets $[/tex]0.65. If [tex]\( x \)[/tex] represents the number of miles traveled, then the reimbursement for the miles traveled can be expressed as [tex]\( 0.65 \times x \)[/tex].
2. Yearly Maintenance Reimbursement: Additionally, the company provides a fixed reimbursement of $145 each year for maintenance, regardless of the number of miles traveled.
3. Total Reimbursement (C): The total reimbursement [tex]\( C \)[/tex] is the sum of the mileage reimbursement and the yearly maintenance reimbursement. Therefore, the equation that models the total reimbursement can be given by:
[tex]\[
C = 0.65x + 145
\][/tex]
Now, looking at the provided options:
- Option A: [tex]\( C = 0.65x + 145 \)[/tex] is exactly the same as our identified equation for total reimbursement.
- Option B, C, and D: These options do not correctly represent the reimbursement structure as described because they either swap the constant and variable terms or use incorrect coefficients.
Therefore, the correct answer is A. [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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