Answer :
To solve this problem, we need to determine which equation correctly represents the total reimbursement, [tex]\(C\)[/tex], offered by Tim's company.
1. Understand the Components:
- The company reimburses \[tex]$0.45 per mile.
- Additionally, there is a fixed annual maintenance reimbursement of \$[/tex]175.
2. Translate the Information into an Equation:
- The variable [tex]\(x\)[/tex] represents the number of miles driven.
- For each mile, the company reimburses \[tex]$0.45, which is represented by \(0.45x\).
- The fixed maintenance reimbursement does not depend on the number of miles, so it's simply a constant amount, \$[/tex]175.
3. Combine Both Components:
- The total reimbursement [tex]\(C\)[/tex] is the sum of the mileage reimbursement and the annual maintenance reimbursement.
- Therefore, we model the total reimbursement with the equation:
[tex]\[
C = 0.45x + 175
\][/tex]
Now that we've derived the equation, we can look back at the given options and identify which one matches our equation:
A. [tex]\(C = 0.45x + 175\)[/tex]
B. [tex]\(C = 45x + 175\)[/tex]
C. [tex]\(C = 0.45 + 175x\)[/tex]
D. [tex]\(C = 0.45 + 175\)[/tex]
The correct equation is option A, [tex]\(C = 0.45x + 175\)[/tex]. This accurately represents the reimbursement based on mileage plus the fixed annual maintenance.
1. Understand the Components:
- The company reimburses \[tex]$0.45 per mile.
- Additionally, there is a fixed annual maintenance reimbursement of \$[/tex]175.
2. Translate the Information into an Equation:
- The variable [tex]\(x\)[/tex] represents the number of miles driven.
- For each mile, the company reimburses \[tex]$0.45, which is represented by \(0.45x\).
- The fixed maintenance reimbursement does not depend on the number of miles, so it's simply a constant amount, \$[/tex]175.
3. Combine Both Components:
- The total reimbursement [tex]\(C\)[/tex] is the sum of the mileage reimbursement and the annual maintenance reimbursement.
- Therefore, we model the total reimbursement with the equation:
[tex]\[
C = 0.45x + 175
\][/tex]
Now that we've derived the equation, we can look back at the given options and identify which one matches our equation:
A. [tex]\(C = 0.45x + 175\)[/tex]
B. [tex]\(C = 45x + 175\)[/tex]
C. [tex]\(C = 0.45 + 175x\)[/tex]
D. [tex]\(C = 0.45 + 175\)[/tex]
The correct equation is option A, [tex]\(C = 0.45x + 175\)[/tex]. This accurately represents the reimbursement based on mileage plus the fixed annual maintenance.
