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 :
Sure! Let's break down the problem step by step to find the equation that models the total reimbursement Donald's company offers.
1. Understand the Components of the Reimbursement:
- The company reimburses Donald [tex]$0.65 for each mile he travels.
- Additionally, the company provides an annual maintenance fee of $[/tex]145 regardless of the miles traveled.
2. Set Up the Equation:
- Let [tex]\( x \)[/tex] represent the number of miles traveled.
- The reimbursement for the miles can be described by multiplying the cost per mile by the number of miles, which is [tex]\( 0.65 \times x \)[/tex].
- Adding the annual maintenance fee of $145 gives us the total reimbursement formula.
3. Combine the Components:
- The total amount of reimbursement [tex]\( C \)[/tex] is the sum of the mileage reimbursement and the maintenance fee, which can be expressed as:
[tex]\[
C = 0.65x + 145
\][/tex]
4. Identify the Correct Equation:
- Comparing this expression to the given options:
- [tex]\( A. \)[/tex] [tex]\( C = 0.65x + 145 \)[/tex]
- [tex]\( B. \)[/tex] [tex]\( C = 65x + 145 \)[/tex]
- [tex]\( C. \)[/tex] [tex]\( C = 0.65 + 145x \)[/tex]
- [tex]\( D. \)[/tex] [tex]\( C = 65 + 145x \)[/tex]
- Option [tex]\( A \)[/tex] matches our derived equation.
Therefore, the correct equation that models the total amount of reimbursement the company offers is:
[tex]\[ C = 0.65x + 145 \][/tex]
Option A is the right choice.
1. Understand the Components of the Reimbursement:
- The company reimburses Donald [tex]$0.65 for each mile he travels.
- Additionally, the company provides an annual maintenance fee of $[/tex]145 regardless of the miles traveled.
2. Set Up the Equation:
- Let [tex]\( x \)[/tex] represent the number of miles traveled.
- The reimbursement for the miles can be described by multiplying the cost per mile by the number of miles, which is [tex]\( 0.65 \times x \)[/tex].
- Adding the annual maintenance fee of $145 gives us the total reimbursement formula.
3. Combine the Components:
- The total amount of reimbursement [tex]\( C \)[/tex] is the sum of the mileage reimbursement and the maintenance fee, which can be expressed as:
[tex]\[
C = 0.65x + 145
\][/tex]
4. Identify the Correct Equation:
- Comparing this expression to the given options:
- [tex]\( A. \)[/tex] [tex]\( C = 0.65x + 145 \)[/tex]
- [tex]\( B. \)[/tex] [tex]\( C = 65x + 145 \)[/tex]
- [tex]\( C. \)[/tex] [tex]\( C = 0.65 + 145x \)[/tex]
- [tex]\( D. \)[/tex] [tex]\( C = 65 + 145x \)[/tex]
- Option [tex]\( A \)[/tex] matches our derived equation.
Therefore, the correct equation that models the total amount of reimbursement the company offers is:
[tex]\[ C = 0.65x + 145 \][/tex]
Option A is the right choice.
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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