Answer :
To solve the problem of determining the total amount of reimbursement the company offers, let's break down the components given:
1. Reimbursement per Mile: The company reimburses [tex]$0.45 for each mile driven. If we let \( x \) represent the number of miles driven, then the total reimbursement for mileage is \( 0.45 \times x \).
2. Annual Maintenance Compensation: The company also offers an additional $[/tex]175 per year for maintenance, which is a fixed amount.
Combining both elements, the total reimbursement [tex]\( C \)[/tex] can be calculated using the following expression:
[tex]\[ C = 0.45 \times x + 175 \][/tex]
Now let's evaluate the given options:
- Option A: [tex]\( C = 0.45x + 175 \)[/tex]
- Option B: [tex]\( C = 045 + 175x \)[/tex]
- Option C: [tex]\( C = 0.45 + 175 \)[/tex]
- Option D: [tex]\( C = 45x + 175 \)[/tex]
The correct equation should account for both the reimbursement per mile and the fixed maintenance amount. Therefore, the equation that fits our breakdown is:
- Option A: [tex]\( C = 0.45x + 175 \)[/tex]
This option correctly includes both the reimbursement per mile ([tex]\( 0.45x \)[/tex]) and the fixed annual maintenance ($175). The other options either have incorrect coefficients or lack both components. Thus, the correct choice is Option A.
1. Reimbursement per Mile: The company reimburses [tex]$0.45 for each mile driven. If we let \( x \) represent the number of miles driven, then the total reimbursement for mileage is \( 0.45 \times x \).
2. Annual Maintenance Compensation: The company also offers an additional $[/tex]175 per year for maintenance, which is a fixed amount.
Combining both elements, the total reimbursement [tex]\( C \)[/tex] can be calculated using the following expression:
[tex]\[ C = 0.45 \times x + 175 \][/tex]
Now let's evaluate the given options:
- Option A: [tex]\( C = 0.45x + 175 \)[/tex]
- Option B: [tex]\( C = 045 + 175x \)[/tex]
- Option C: [tex]\( C = 0.45 + 175 \)[/tex]
- Option D: [tex]\( C = 45x + 175 \)[/tex]
The correct equation should account for both the reimbursement per mile and the fixed maintenance amount. Therefore, the equation that fits our breakdown is:
- Option A: [tex]\( C = 0.45x + 175 \)[/tex]
This option correctly includes both the reimbursement per mile ([tex]\( 0.45x \)[/tex]) and the fixed annual maintenance ($175). The other options either have incorrect coefficients or lack both components. Thus, the correct choice is Option A.
