Answer :
To determine the correct equation that models the total amount of reimbursement, [tex]\( C \)[/tex], let's break down the problem step by step.
1. Understand the components of the reimbursement:
- Tim's company offers a reimbursement of [tex]$0.45 per mile.
- Additionally, there is a fixed reimbursement of $[/tex]175 per year for maintenance.
2. Define the variables:
- Let [tex]\( x \)[/tex] represent the number of miles Tim drives.
3. Construct the equation for total reimbursement:
- Since Tim is reimbursed [tex]$0.45 for each mile, the total reimbursement for miles driven is \( 0.45x \).
- Adding the fixed annual maintenance fee of $[/tex]175, the total reimbursement can be represented by:
[tex]\[
C = 0.45x + 175
\][/tex]
4. Identify the correct option:
- Among the provided choices, the equation that matches our derived expression [tex]\( C = 0.45x + 175 \)[/tex] is option B.
Therefore, the correct equation that models the total reimbursement [tex]\( C \)[/tex] is:
[tex]\[ B. \, C = 0.45x + 175 \][/tex]
1. Understand the components of the reimbursement:
- Tim's company offers a reimbursement of [tex]$0.45 per mile.
- Additionally, there is a fixed reimbursement of $[/tex]175 per year for maintenance.
2. Define the variables:
- Let [tex]\( x \)[/tex] represent the number of miles Tim drives.
3. Construct the equation for total reimbursement:
- Since Tim is reimbursed [tex]$0.45 for each mile, the total reimbursement for miles driven is \( 0.45x \).
- Adding the fixed annual maintenance fee of $[/tex]175, the total reimbursement can be represented by:
[tex]\[
C = 0.45x + 175
\][/tex]
4. Identify the correct option:
- Among the provided choices, the equation that matches our derived expression [tex]\( C = 0.45x + 175 \)[/tex] is option B.
Therefore, the correct equation that models the total reimbursement [tex]\( C \)[/tex] is:
[tex]\[ B. \, C = 0.45x + 175 \][/tex]
