Answer :
To determine the correct equation that models the total amount of reimbursement the company offers, we need to consider two components of the reimbursement package:
1. Mileage Reimbursement: The company reimburses [tex]$0.45 per mile. Therefore, if Joseph drives \( x \) miles, the total reimbursement for mileage is given by \( 0.45 \times x \).
2. Annual Maintenance Reimbursement: The company offers an additional flat reimbursement of $[/tex]175 per year for maintenance.
Combining these two components, the total reimbursement [tex]\( C \)[/tex] can be modeled by adding the mileage reimbursement to the annual maintenance reimbursement. Therefore, the equation to represent the total reimbursement is:
[tex]\[ C = 0.45x + 175 \][/tex]
This equation accounts for [tex]$0.45 reimbursement for each mile driven plus a fixed amount of $[/tex]175 each year. Therefore, the answer is this equation.
1. Mileage Reimbursement: The company reimburses [tex]$0.45 per mile. Therefore, if Joseph drives \( x \) miles, the total reimbursement for mileage is given by \( 0.45 \times x \).
2. Annual Maintenance Reimbursement: The company offers an additional flat reimbursement of $[/tex]175 per year for maintenance.
Combining these two components, the total reimbursement [tex]\( C \)[/tex] can be modeled by adding the mileage reimbursement to the annual maintenance reimbursement. Therefore, the equation to represent the total reimbursement is:
[tex]\[ C = 0.45x + 175 \][/tex]
This equation accounts for [tex]$0.45 reimbursement for each mile driven plus a fixed amount of $[/tex]175 each year. Therefore, the answer is this equation.
