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Answer :
To find the right equation that models the total amount of reimbursement [tex]\( C \)[/tex] Tim's company offers, let's break it down step-by-step:
1. Understanding the Reimbursement Components:
- Tim's company reimburses [tex]\(\$0.65\)[/tex] per mile he drives.
- Additionally, they provide a fixed reimbursement of [tex]\(\$145\)[/tex] per year for maintenance.
2. Setting Up the Equation:
- Let [tex]\( x \)[/tex] represent the number of miles driven.
- The reimbursement for the miles driven is [tex]\(\$0.65\)[/tex] multiplied by the number of miles, which is [tex]\( 0.65x \)[/tex].
- The total reimbursement also includes the fixed amount of [tex]\(\$145\)[/tex].
3. Putting it all Together:
- The total reimbursement [tex]\( C \)[/tex] is the sum of the mileage reimbursement and the maintenance reimbursement. Therefore, the equation is:
[tex]\[
C = 0.65x + 145
\][/tex]
4. Choosing the Correct Equation:
- Looking at the provided options:
- Option A: [tex]\( C = 0.65x + 145 \)[/tex]
- Option B: [tex]\( C = 65 + 145x \)[/tex]
- Option C: [tex]\( c = 0.55 + 145x \)[/tex]
- Option D: [tex]\( c = 65x + 145 \)[/tex]
By comparing these options with our derived equation [tex]\( C = 0.65x + 145 \)[/tex], we can see that Option A is the correct one.
Therefore, the equation that models the total amount of reimbursement Tim receives is:
A. [tex]\( C = 0.65x + 145 \)[/tex].
1. Understanding the Reimbursement Components:
- Tim's company reimburses [tex]\(\$0.65\)[/tex] per mile he drives.
- Additionally, they provide a fixed reimbursement of [tex]\(\$145\)[/tex] per year for maintenance.
2. Setting Up the Equation:
- Let [tex]\( x \)[/tex] represent the number of miles driven.
- The reimbursement for the miles driven is [tex]\(\$0.65\)[/tex] multiplied by the number of miles, which is [tex]\( 0.65x \)[/tex].
- The total reimbursement also includes the fixed amount of [tex]\(\$145\)[/tex].
3. Putting it all Together:
- The total reimbursement [tex]\( C \)[/tex] is the sum of the mileage reimbursement and the maintenance reimbursement. Therefore, the equation is:
[tex]\[
C = 0.65x + 145
\][/tex]
4. Choosing the Correct Equation:
- Looking at the provided options:
- Option A: [tex]\( C = 0.65x + 145 \)[/tex]
- Option B: [tex]\( C = 65 + 145x \)[/tex]
- Option C: [tex]\( c = 0.55 + 145x \)[/tex]
- Option D: [tex]\( c = 65x + 145 \)[/tex]
By comparing these options with our derived equation [tex]\( C = 0.65x + 145 \)[/tex], we can see that Option A is the correct one.
Therefore, the equation that models the total amount of reimbursement Tim receives is:
A. [tex]\( C = 0.65x + 145 \)[/tex].
Thanks for taking the time to read Tim 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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