Answer :
To solve this problem, let's break down the components of the reimbursement package offered by Joseph's company:
1. Reimbursement per mile: The company pays [tex]$0.45 for every mile driven. If \( x \) represents the number of miles driven, this part of the reimbursement is calculated by multiplying the cost per mile by the number of miles, which is \( 0.45 \times x \).
2. Annual maintenance fee: Regardless of the miles driven, the company also provides a fixed annual maintenance reimbursement of $[/tex]175. This is a constant value that gets added to the total reimbursement.
Combining both components, the total reimbursement [tex]\( C \)[/tex] can be expressed as the sum of the mileage reimbursement and the maintenance fee. Therefore, the equation to model the total reimbursement is:
[tex]\[ C = 0.45x + 175 \][/tex]
So, the correct equation from the options provided is:
C. [tex]\( C = 0.45x + 175 \)[/tex]
1. Reimbursement per mile: The company pays [tex]$0.45 for every mile driven. If \( x \) represents the number of miles driven, this part of the reimbursement is calculated by multiplying the cost per mile by the number of miles, which is \( 0.45 \times x \).
2. Annual maintenance fee: Regardless of the miles driven, the company also provides a fixed annual maintenance reimbursement of $[/tex]175. This is a constant value that gets added to the total reimbursement.
Combining both components, the total reimbursement [tex]\( C \)[/tex] can be expressed as the sum of the mileage reimbursement and the maintenance fee. Therefore, the equation to model the total reimbursement is:
[tex]\[ C = 0.45x + 175 \][/tex]
So, the correct equation from the options provided is:
C. [tex]\( C = 0.45x + 175 \)[/tex]
