Answer :
To determine which equation models the total amount of reimbursement, we'll consider the different components of Donald's company's reimbursement package:
1. Per Mile Reimbursement: The company reimburses [tex]$0.65 per mile. If Donald drives \( x \) miles, the reimbursement for mileage would be \( 0.65x \).
2. Annual Maintenance Fee: There is also a fixed maintenance reimbursement of $[/tex]145 per year. This amount does not depend on the number of miles driven.
To create an equation modeling the total reimbursement [tex]\( C \)[/tex], we add the two components together:
- The variable portion depending on the miles driven: [tex]\( 0.65x \)[/tex]
- The fixed portion for maintenance: [tex]\( 145 \)[/tex]
Therefore, the equation combining both parts is:
[tex]\[ C = 0.65x + 145 \][/tex]
Comparing this with the options given:
- A. [tex]\( C = 65 + 145x \)[/tex]
- B. [tex]\( C = 65x + 145 \)[/tex]
- C. [tex]\( C = 0.65x + 145 \)[/tex]
- D. [tex]\( C = 0.65 + 145x \)[/tex]
Option C, [tex]\( C = 0.65x + 145 \)[/tex], correctly represents the total reimbursement model based on the given information. So, the correct answer is:
C. [tex]\( C = 0.65x + 145 \)[/tex]
1. Per Mile Reimbursement: The company reimburses [tex]$0.65 per mile. If Donald drives \( x \) miles, the reimbursement for mileage would be \( 0.65x \).
2. Annual Maintenance Fee: There is also a fixed maintenance reimbursement of $[/tex]145 per year. This amount does not depend on the number of miles driven.
To create an equation modeling the total reimbursement [tex]\( C \)[/tex], we add the two components together:
- The variable portion depending on the miles driven: [tex]\( 0.65x \)[/tex]
- The fixed portion for maintenance: [tex]\( 145 \)[/tex]
Therefore, the equation combining both parts is:
[tex]\[ C = 0.65x + 145 \][/tex]
Comparing this with the options given:
- A. [tex]\( C = 65 + 145x \)[/tex]
- B. [tex]\( C = 65x + 145 \)[/tex]
- C. [tex]\( C = 0.65x + 145 \)[/tex]
- D. [tex]\( C = 0.65 + 145x \)[/tex]
Option C, [tex]\( C = 0.65x + 145 \)[/tex], correctly represents the total reimbursement model based on the given information. So, the correct answer is:
C. [tex]\( C = 0.65x + 145 \)[/tex]
