Answer :
Sure, let's break down the problem step by step:
Joseph's company offers a reimbursement plan that includes two parts:
1. Reimbursement of [tex]$0.45 per mile traveled.
2. An additional $[/tex]175 per year for maintenance.
We need to create an equation that models the total reimbursement [tex]\( C \)[/tex] based on the number of miles [tex]\( x \)[/tex].
Step 1: Consider the per mile reimbursement.
- The company pays [tex]$0.45 per mile.
- If Joseph travels \( x \) miles, the reimbursement for the miles will be \( 0.45 \times x \).
Step 2: Consider the annual maintenance reimbursement.
- The company offers a fixed amount of $[/tex]175 per year for maintenance.
- This is a constant amount that doesn't depend on the miles, so it's just 175.
Step 3: Combine both parts to form the total reimbursement equation.
- The total reimbursement [tex]\( C \)[/tex] is the sum of the per mile reimbursement and the annual maintenance.
- Therefore, the equation is:
[tex]\[ C = 0.45x + 175 \][/tex]
Thus, the correct equation that models the total amount of reimbursement is:
D. [tex]\( C = 0.45x + 175 \)[/tex]
This equation reflects the relationship between the number of miles driven and the total reimbursement provided by the company.
Joseph's company offers a reimbursement plan that includes two parts:
1. Reimbursement of [tex]$0.45 per mile traveled.
2. An additional $[/tex]175 per year for maintenance.
We need to create an equation that models the total reimbursement [tex]\( C \)[/tex] based on the number of miles [tex]\( x \)[/tex].
Step 1: Consider the per mile reimbursement.
- The company pays [tex]$0.45 per mile.
- If Joseph travels \( x \) miles, the reimbursement for the miles will be \( 0.45 \times x \).
Step 2: Consider the annual maintenance reimbursement.
- The company offers a fixed amount of $[/tex]175 per year for maintenance.
- This is a constant amount that doesn't depend on the miles, so it's just 175.
Step 3: Combine both parts to form the total reimbursement equation.
- The total reimbursement [tex]\( C \)[/tex] is the sum of the per mile reimbursement and the annual maintenance.
- Therefore, the equation is:
[tex]\[ C = 0.45x + 175 \][/tex]
Thus, the correct equation that models the total amount of reimbursement is:
D. [tex]\( C = 0.45x + 175 \)[/tex]
This equation reflects the relationship between the number of miles driven and the total reimbursement provided by the company.
