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Answer :
To figure out which equation represents the total amount of reimbursement, [tex]\( C \)[/tex], the company offers, let's break it down into parts:
1. Per Mile Reimbursement: The company offers [tex]$0.65 per mile. If \( x \) is the number of miles driven, then the cost for the mileage is \( 0.65 \times x \).
2. Fixed Yearly Maintenance Reimbursement: Besides the mileage reimbursement, there's a fixed amount of $[/tex]145 that the company compensates for maintenance annually. This amount is constant and does not depend on the number of miles driven.
Now, combining these two components, the total reimbursement [tex]\( C \)[/tex] is calculated as:
[tex]\[ C = \text{(Mileage Reimbursement)} + \text{(Fixed Maintenance Cost)} \][/tex]
Substituting the values we know:
[tex]\[ C = 0.65x + 145 \][/tex]
So, the equation that models the total reimbursement [tex]\( C \)[/tex] the company offers is:
D. [tex]\( C = 0.65x + 145 \)[/tex]
This equation accurately represents both the variable cost based on mileage and the fixed annual cost for maintenance.
1. Per Mile Reimbursement: The company offers [tex]$0.65 per mile. If \( x \) is the number of miles driven, then the cost for the mileage is \( 0.65 \times x \).
2. Fixed Yearly Maintenance Reimbursement: Besides the mileage reimbursement, there's a fixed amount of $[/tex]145 that the company compensates for maintenance annually. This amount is constant and does not depend on the number of miles driven.
Now, combining these two components, the total reimbursement [tex]\( C \)[/tex] is calculated as:
[tex]\[ C = \text{(Mileage Reimbursement)} + \text{(Fixed Maintenance Cost)} \][/tex]
Substituting the values we know:
[tex]\[ C = 0.65x + 145 \][/tex]
So, the equation that models the total reimbursement [tex]\( C \)[/tex] the company offers is:
D. [tex]\( C = 0.65x + 145 \)[/tex]
This equation accurately represents both the variable cost based on mileage and the fixed annual cost for maintenance.
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