Answer :
To determine which equation models the total amount of reimbursement Tim's company offers, we need to consider how the reimbursement package is structured.
1. Reimbursement per Mile: Tim is reimbursed at a rate of [tex]$0.45 per mile. If he drives "x" miles, the reimbursement just for these miles would be \(0.45 \times x\).
2. Annual Maintenance Reimbursement: Besides the mileage reimbursement, Tim also receives a fixed amount of $[/tex]175 every year for maintenance. This is a one-time payment, not dependent on the number of miles driven.
To find the total reimbursement "C", we add these two components together:
- The mileage reimbursement: [tex]\(0.45 \times x\)[/tex]
- The fixed maintenance reimbursement: $175
So, the equation for the total reimbursement is:
[tex]\[ C = 0.45x + 175 \][/tex]
Therefore, the correct answer is:
B. [tex]\(C = 0.45x + 175\)[/tex]
1. Reimbursement per Mile: Tim is reimbursed at a rate of [tex]$0.45 per mile. If he drives "x" miles, the reimbursement just for these miles would be \(0.45 \times x\).
2. Annual Maintenance Reimbursement: Besides the mileage reimbursement, Tim also receives a fixed amount of $[/tex]175 every year for maintenance. This is a one-time payment, not dependent on the number of miles driven.
To find the total reimbursement "C", we add these two components together:
- The mileage reimbursement: [tex]\(0.45 \times x\)[/tex]
- The fixed maintenance reimbursement: $175
So, the equation for the total reimbursement is:
[tex]\[ C = 0.45x + 175 \][/tex]
Therefore, the correct answer is:
B. [tex]\(C = 0.45x + 175\)[/tex]
