Answer :
To solve this problem, we need to find out which equation correctly models the total amount of reimbursement Tim's company offers based on the number of miles driven.
Here we go step-by-step:
1. Understand the Reimbursement Structure:
- Tim's company offers [tex]$0.45 for each mile driven.
- Additionally, they provide a yearly maintenance fee of $[/tex]175.
2. Define the Variable:
- Let [tex]\( x \)[/tex] represent the number of miles driven. This is the variable part of our equation.
3. Create the Mathematical Expression:
- The reimbursement per mile is given by [tex]\( 0.45 \times x \)[/tex]. This part accounts for the variable reimbursement based on miles.
- The maintenance fee is a fixed amount of $175, so it will be added to the reimbursement for the miles.
4. Combine the Components:
- Therefore, the total reimbursement [tex]\( C \)[/tex] can be modeled by adding the reimbursement for the miles to the maintenance fee:
[tex]\[
C = 0.45x + 175
\][/tex]
So, the correct equation is:
- A. [tex]\( C = 0.45x + 175 \)[/tex]
This equation shows how the reimbursement depends on the miles driven, [tex]\( x \)[/tex], and includes the additional fixed maintenance fee.
Here we go step-by-step:
1. Understand the Reimbursement Structure:
- Tim's company offers [tex]$0.45 for each mile driven.
- Additionally, they provide a yearly maintenance fee of $[/tex]175.
2. Define the Variable:
- Let [tex]\( x \)[/tex] represent the number of miles driven. This is the variable part of our equation.
3. Create the Mathematical Expression:
- The reimbursement per mile is given by [tex]\( 0.45 \times x \)[/tex]. This part accounts for the variable reimbursement based on miles.
- The maintenance fee is a fixed amount of $175, so it will be added to the reimbursement for the miles.
4. Combine the Components:
- Therefore, the total reimbursement [tex]\( C \)[/tex] can be modeled by adding the reimbursement for the miles to the maintenance fee:
[tex]\[
C = 0.45x + 175
\][/tex]
So, the correct equation is:
- A. [tex]\( C = 0.45x + 175 \)[/tex]
This equation shows how the reimbursement depends on the miles driven, [tex]\( x \)[/tex], and includes the additional fixed maintenance fee.
