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Answer :
To determine the correct equation that models the total reimbursement offered by Donald's company, we must consider the two components of the reimbursement:
1. Per Mile Reimbursement: The company offers \[tex]$0.65 per mile. This means for every mile Donald drives, he receives \$[/tex]0.65. If [tex]\( x \)[/tex] represents the number of miles driven, then the reimbursement for the mileage is calculated as [tex]\( 0.65 \times x \)[/tex].
2. Annual Maintenance Reimbursement: In addition to the mileage reimbursement, Donald's company provides a fixed annual amount of \$145 for maintenance. This is a constant amount added to the reimbursement.
Combining these two parts, the equation to model the total amount of reimbursement, [tex]\( C \)[/tex], is the sum of the mileage reimbursement and the annual maintenance:
[tex]\[ C = 0.65x + 145 \][/tex]
So, the correct answer is:
C. [tex]\( C = 0.65x + 145 \)[/tex]
1. Per Mile Reimbursement: The company offers \[tex]$0.65 per mile. This means for every mile Donald drives, he receives \$[/tex]0.65. If [tex]\( x \)[/tex] represents the number of miles driven, then the reimbursement for the mileage is calculated as [tex]\( 0.65 \times x \)[/tex].
2. Annual Maintenance Reimbursement: In addition to the mileage reimbursement, Donald's company provides a fixed annual amount of \$145 for maintenance. This is a constant amount added to the reimbursement.
Combining these two parts, the equation to model the total amount of reimbursement, [tex]\( C \)[/tex], is the sum of the mileage reimbursement and the annual maintenance:
[tex]\[ C = 0.65x + 145 \][/tex]
So, the correct answer is:
C. [tex]\( C = 0.65x + 145 \)[/tex]
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