We appreciate your visit to 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. 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 :
Sure! Let's go through the problem step by step to find the equation that models the total amount of reimbursement Tim's company offers.
1. Understand the Components of Reimbursement:
- Tim's company reimburses [tex]$0.65 per mile. This means for every mile Tim travels, he receives $[/tex]0.65.
- Additionally, there is a flat yearly payment of [tex]$145 for maintenance, regardless of the miles traveled.
2. Set Up the Equation:
- Let's denote the number of miles traveled as \( x \).
- The reimbursement for the miles traveled is calculated by multiplying the rate per mile by the number of miles, which is \( 0.65x \).
- The total reimbursement is the sum of the mileage reimbursement and the yearly maintenance payment.
3. Formulate the Equation:
- Therefore, the equation that models the total reimbursement \( C \) is:
\[ C = 0.65x + 145 \]
- This equation means that the total reimbursement \( C \) is a combination of $[/tex]0.65 for each mile traveled plus an additional $145 for annual maintenance.
4. Choose the Correct Option:
- When we compare this equation with the provided options, we see that option B matches:
- [tex]\( B. \ C = 0.65x + 145 \)[/tex]
Thus, the correct answer is option B: [tex]\( C = 0.65x + 145 \)[/tex].
1. Understand the Components of Reimbursement:
- Tim's company reimburses [tex]$0.65 per mile. This means for every mile Tim travels, he receives $[/tex]0.65.
- Additionally, there is a flat yearly payment of [tex]$145 for maintenance, regardless of the miles traveled.
2. Set Up the Equation:
- Let's denote the number of miles traveled as \( x \).
- The reimbursement for the miles traveled is calculated by multiplying the rate per mile by the number of miles, which is \( 0.65x \).
- The total reimbursement is the sum of the mileage reimbursement and the yearly maintenance payment.
3. Formulate the Equation:
- Therefore, the equation that models the total reimbursement \( C \) is:
\[ C = 0.65x + 145 \]
- This equation means that the total reimbursement \( C \) is a combination of $[/tex]0.65 for each mile traveled plus an additional $145 for annual maintenance.
4. Choose the Correct Option:
- When we compare this equation with the provided options, we see that option B matches:
- [tex]\( B. \ C = 0.65x + 145 \)[/tex]
Thus, the correct answer is option B: [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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