Answer :
To solve the question about modeling the total amount of reimbursement Tim's company offers, we need to understand how the reimbursement is structured.
Tim's company provides:
- A reimbursement of [tex]$0.65 per mile driven.
- An additional annual maintenance reimbursement of $[/tex]145.
We're tasked with formulating an equation that represents the total reimbursement, [tex]\(C\)[/tex], based on the number of miles, [tex]\(x\)[/tex].
Here's how we can model this:
1. Reimbursement Per Mile: For every mile driven, Tim receives [tex]$0.65. If he drives \(x\) miles, the reimbursement for driving is \(0.65 \times x\).
2. Annual Maintenance: Regardless of miles driven, Tim receives an additional $[/tex]145 annually for maintenance.
3. Total Reimbursement Calculation:
- Combine both components: the mileage reimbursement and the annual maintenance.
- The equation that models the total reimbursement, [tex]\(C\)[/tex], is:
[tex]\[
C = 0.65 \times x + 145
\][/tex]
By putting these elements together, the correct equation to represent Tim's total reimbursement is option B: [tex]\(C = 0.65x + 145\)[/tex]. This formula accounts for both the variable mileage component and the fixed annual maintenance amount.
Tim's company provides:
- A reimbursement of [tex]$0.65 per mile driven.
- An additional annual maintenance reimbursement of $[/tex]145.
We're tasked with formulating an equation that represents the total reimbursement, [tex]\(C\)[/tex], based on the number of miles, [tex]\(x\)[/tex].
Here's how we can model this:
1. Reimbursement Per Mile: For every mile driven, Tim receives [tex]$0.65. If he drives \(x\) miles, the reimbursement for driving is \(0.65 \times x\).
2. Annual Maintenance: Regardless of miles driven, Tim receives an additional $[/tex]145 annually for maintenance.
3. Total Reimbursement Calculation:
- Combine both components: the mileage reimbursement and the annual maintenance.
- The equation that models the total reimbursement, [tex]\(C\)[/tex], is:
[tex]\[
C = 0.65 \times x + 145
\][/tex]
By putting these elements together, the correct equation to represent Tim's total reimbursement is option B: [tex]\(C = 0.65x + 145\)[/tex]. This formula accounts for both the variable mileage component and the fixed annual maintenance amount.
