Answer :
To solve this problem, we need to create an equation that represents the total reimbursement amount [tex]\( C \)[/tex] Donald's company offers him based on the number of miles [tex]\( x \)[/tex] he drives.
1. Understand the Components:
- The company offers a reimbursement of [tex]$0.65 per mile. This means for every mile Donald drives, he gets $[/tex]0.65.
- Additionally, the company provides a fixed maintenance reimbursement of [tex]$145 per year, regardless of the number of miles driven.
2. Formulate the Equation:
- The reimbursement per mile can be represented as \( 0.65 \times x \), where \( x \) is the number of miles driven.
- The total maintenance reimbursement is a constant $[/tex]145.
3. Combine the Components:
- To find the total reimbursement ([tex]\( C \)[/tex]), we add the amount received based on the miles driven to the fixed maintenance amount.
- Therefore, the equation is [tex]\( C = 0.65x + 145 \)[/tex].
4. Select the Correct Model:
- Let's compare this equation with the given options:
- A. [tex]\( C = 0.65x + 145 \)[/tex]
- B. [tex]\( C = 65 + 145x \)[/tex]
- C. [tex]\( C = 0.65 + 145x \)[/tex]
- D. [tex]\( C = 65x + 145 \)[/tex]
- The equation we formulated matches option A.
So, the correct equation that models the total reimbursement is [tex]\( C = 0.65x + 145 \)[/tex], which corresponds to option A.
1. Understand the Components:
- The company offers a reimbursement of [tex]$0.65 per mile. This means for every mile Donald drives, he gets $[/tex]0.65.
- Additionally, the company provides a fixed maintenance reimbursement of [tex]$145 per year, regardless of the number of miles driven.
2. Formulate the Equation:
- The reimbursement per mile can be represented as \( 0.65 \times x \), where \( x \) is the number of miles driven.
- The total maintenance reimbursement is a constant $[/tex]145.
3. Combine the Components:
- To find the total reimbursement ([tex]\( C \)[/tex]), we add the amount received based on the miles driven to the fixed maintenance amount.
- Therefore, the equation is [tex]\( C = 0.65x + 145 \)[/tex].
4. Select the Correct Model:
- Let's compare this equation with the given options:
- A. [tex]\( C = 0.65x + 145 \)[/tex]
- B. [tex]\( C = 65 + 145x \)[/tex]
- C. [tex]\( C = 0.65 + 145x \)[/tex]
- D. [tex]\( C = 65x + 145 \)[/tex]
- The equation we formulated matches option A.
So, the correct equation that models the total reimbursement is [tex]\( C = 0.65x + 145 \)[/tex], which corresponds to option A.
