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Answer :
To solve this problem, we need to create an equation that models the total amount of reimbursement the company offers based on the number of miles driven, represented by [tex]\( x \)[/tex].
Here's how to approach it:
1. Understand the Components:
- The company reimburses at a rate of \[tex]$0.65 per mile.
- Additionally, there is an annual maintenance reimbursement of \$[/tex]145.
2. Construct the Equation:
- Per Mile Reimbursement: If [tex]\( x \)[/tex] is the number of miles driven, then the reimbursement for mileage is [tex]\( 0.65 \times x \)[/tex].
- Annual Maintenance: Regardless of the miles driven, there is a fixed reimbursement of \$145 for maintenance.
3. Combine Components:
- The total reimbursement [tex]\( C \)[/tex] is the sum of the per mile reimbursement and the fixed annual maintenance amount.
- Therefore, the equation is:
[tex]\[ C = 0.65x + 145 \][/tex]
4. Match with Options:
- Look at the options provided:
A. [tex]\( C = 65 + 145x \)[/tex]
B. [tex]\( C = 0.65 + 145x \)[/tex]
C. [tex]\( C = 65x + 145 \)[/tex]
D. [tex]\( C = 0.65x + 145 \)[/tex]
- The correct equation is option D: [tex]\( C = 0.65x + 145 \)[/tex].
Therefore, the equation that correctly models the total reimbursement Donald's company offers, based on the number of miles driven, is given by option D.
Here's how to approach it:
1. Understand the Components:
- The company reimburses at a rate of \[tex]$0.65 per mile.
- Additionally, there is an annual maintenance reimbursement of \$[/tex]145.
2. Construct the Equation:
- Per Mile Reimbursement: If [tex]\( x \)[/tex] is the number of miles driven, then the reimbursement for mileage is [tex]\( 0.65 \times x \)[/tex].
- Annual Maintenance: Regardless of the miles driven, there is a fixed reimbursement of \$145 for maintenance.
3. Combine Components:
- The total reimbursement [tex]\( C \)[/tex] is the sum of the per mile reimbursement and the fixed annual maintenance amount.
- Therefore, the equation is:
[tex]\[ C = 0.65x + 145 \][/tex]
4. Match with Options:
- Look at the options provided:
A. [tex]\( C = 65 + 145x \)[/tex]
B. [tex]\( C = 0.65 + 145x \)[/tex]
C. [tex]\( C = 65x + 145 \)[/tex]
D. [tex]\( C = 0.65x + 145 \)[/tex]
- The correct equation is option D: [tex]\( C = 0.65x + 145 \)[/tex].
Therefore, the equation that correctly models the total reimbursement Donald's company offers, based on the number of miles driven, is given by option D.
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