Answer :
To determine the correct equation that models the total reimbursement offered by Tirn's company, we need to consider two components:
1. Reimbursement per mile: The company offers [tex]$0.45 for each mile driven. If \( x \) represents the number of miles, the total reimbursement based on miles can be calculated as \( 0.45 \times x \).
2. Annual maintenance reimbursement: In addition to the mileage reimbursement, Tirn's company also provides a fixed amount of $[/tex]175 annually for maintenance.
To find the total reimbursement [tex]\( C \)[/tex], we add these two components together:
- The mileage reimbursement is [tex]\( 0.45x \)[/tex].
- The maintenance reimbursement is $175.
Thus, the total amount of reimbursement [tex]\( C \)[/tex] can be modeled by the equation:
[tex]\[ C = 0.45x + 175 \][/tex]
Therefore, the correct answer is:
A. [tex]\( C = 0.45x + 175 \)[/tex]
1. Reimbursement per mile: The company offers [tex]$0.45 for each mile driven. If \( x \) represents the number of miles, the total reimbursement based on miles can be calculated as \( 0.45 \times x \).
2. Annual maintenance reimbursement: In addition to the mileage reimbursement, Tirn's company also provides a fixed amount of $[/tex]175 annually for maintenance.
To find the total reimbursement [tex]\( C \)[/tex], we add these two components together:
- The mileage reimbursement is [tex]\( 0.45x \)[/tex].
- The maintenance reimbursement is $175.
Thus, the total amount of reimbursement [tex]\( C \)[/tex] can be modeled by the equation:
[tex]\[ C = 0.45x + 175 \][/tex]
Therefore, the correct answer is:
A. [tex]\( C = 0.45x + 175 \)[/tex]