Answer :
To find the equation that models the total amount of reimbursement, represented by [tex]\( C \)[/tex], we need to consider two parts of the reimbursement package provided by the company:
1. Mileage Reimbursement: The company reimburses [tex]$0.45 per mile. If \( x \) represents the number of miles, then the total reimbursement for mileage is \( 0.45x \).
2. Annual Maintenance Fee: The company provides an additional $[/tex]175 a year for maintenance, regardless of the number of miles driven.
Combining these two parts, the total reimbursement [tex]\( C \)[/tex] is the sum of the mileage reimbursement and the annual maintenance fee. Therefore, the equation that models [tex]\( C \)[/tex] is:
[tex]\[ C = 0.45x + 175 \][/tex]
This matches with option B:
[tex]\[ B. \, C = 0.45x + 175 \][/tex]
So, the correct answer is option B.
1. Mileage Reimbursement: The company reimburses [tex]$0.45 per mile. If \( x \) represents the number of miles, then the total reimbursement for mileage is \( 0.45x \).
2. Annual Maintenance Fee: The company provides an additional $[/tex]175 a year for maintenance, regardless of the number of miles driven.
Combining these two parts, the total reimbursement [tex]\( C \)[/tex] is the sum of the mileage reimbursement and the annual maintenance fee. Therefore, the equation that models [tex]\( C \)[/tex] is:
[tex]\[ C = 0.45x + 175 \][/tex]
This matches with option B:
[tex]\[ B. \, C = 0.45x + 175 \][/tex]
So, the correct answer is option B.
