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Answer :
To determine the total amount of reimbursement that Tim's company offers, we need to break down the reimbursement package. The package includes two parts:
1. The company reimburses a rate of [tex]$0.65 per mile.
2. An additional fixed yearly maintenance fee of $[/tex]145.
To create an equation for the total reimbursement, represented by [tex]\( C \)[/tex], based on the number of miles driven, [tex]\( x \)[/tex], we combine these two aspects:
- For every mile driven, Tim gets [tex]$0.65, so for \( x \) miles, he would receive \( 0.65 \times x \).
- Additionally, there is a fixed annual maintenance reimbursement of $[/tex]145, which is constant and does not depend on the number of miles driven.
Putting these together, we get the equation:
[tex]\[ C = 0.65x + 145 \][/tex]
This equation models the total reimbursement Tim's company offers based on the miles driven.
With this understanding, the correct choice from the given options is:
B. [tex]\( c = 0.65x + 145 \)[/tex]
1. The company reimburses a rate of [tex]$0.65 per mile.
2. An additional fixed yearly maintenance fee of $[/tex]145.
To create an equation for the total reimbursement, represented by [tex]\( C \)[/tex], based on the number of miles driven, [tex]\( x \)[/tex], we combine these two aspects:
- For every mile driven, Tim gets [tex]$0.65, so for \( x \) miles, he would receive \( 0.65 \times x \).
- Additionally, there is a fixed annual maintenance reimbursement of $[/tex]145, which is constant and does not depend on the number of miles driven.
Putting these together, we get the equation:
[tex]\[ C = 0.65x + 145 \][/tex]
This equation models the total reimbursement Tim's company offers based on the miles driven.
With this understanding, the correct choice from the given options is:
B. [tex]\( c = 0.65x + 145 \)[/tex]
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