Answer :
To solve the problem of determining which equation models the total reimbursement [tex]\( C \)[/tex], let's break down the information given:
1. Reimbursement Per Mile: The company pays [tex]$0.45 for every mile driven. If \( x \) is the number of miles, then the total reimbursement for miles is \( 0.45 \times x \).
2. Annual Maintenance Cost: The company also provides a fixed reimbursement of $[/tex]175 each year for maintenance, regardless of the number of miles driven.
To find the total reimbursement [tex]\( C \)[/tex], we need to combine both parts:
- Mileage Reimbursement: [tex]\( 0.45 \times x \)[/tex]
- Annual Maintenance Reimbursement: $175
The total reimbursement equation [tex]\( C \)[/tex] would then be the sum of these two components:
[tex]\[ C = 0.45 \times x + 175 \][/tex]
Now, let's match this equation to the options provided:
- Option A: [tex]\( C = 0.45x + 175 \)[/tex]
- Option B: [tex]\( C = 045 \cdot 175x \)[/tex]
- Option C: [tex]\( C = 45 + 175x \)[/tex]
- Option D: [tex]\( C = 45x + 175 \)[/tex]
The correct equation that represents the total reimbursement [tex]\( C \)[/tex] is Option A: [tex]\( C = 0.45x + 175 \)[/tex].
Therefore, the correct answer is A.
1. Reimbursement Per Mile: The company pays [tex]$0.45 for every mile driven. If \( x \) is the number of miles, then the total reimbursement for miles is \( 0.45 \times x \).
2. Annual Maintenance Cost: The company also provides a fixed reimbursement of $[/tex]175 each year for maintenance, regardless of the number of miles driven.
To find the total reimbursement [tex]\( C \)[/tex], we need to combine both parts:
- Mileage Reimbursement: [tex]\( 0.45 \times x \)[/tex]
- Annual Maintenance Reimbursement: $175
The total reimbursement equation [tex]\( C \)[/tex] would then be the sum of these two components:
[tex]\[ C = 0.45 \times x + 175 \][/tex]
Now, let's match this equation to the options provided:
- Option A: [tex]\( C = 0.45x + 175 \)[/tex]
- Option B: [tex]\( C = 045 \cdot 175x \)[/tex]
- Option C: [tex]\( C = 45 + 175x \)[/tex]
- Option D: [tex]\( C = 45x + 175 \)[/tex]
The correct equation that represents the total reimbursement [tex]\( C \)[/tex] is Option A: [tex]\( C = 0.45x + 175 \)[/tex].
Therefore, the correct answer is A.
