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Answer :
Sure! Let's break down the problem step-by-step to understand which equation correctly models the total reimbursement amount [tex]\( C \)[/tex]:
1. Understand the Components of Reimbursement:
- Reimbursement per mile: Donald's company reimburses [tex]$0.65 for every mile driven. If \( x \) represents the number of miles driven, then the reimbursement for miles can be expressed as \( 0.65 \times x \).
- Annual maintenance reimbursement: Apart from the per mile reimbursement, the company gives a fixed amount of $[/tex]145 every year for maintenance.
2. Formulating the Total Reimbursement Equation:
- To find the total reimbursement, [tex]\( C \)[/tex], we need to add both the per mile reimbursement and the fixed maintenance amount.
- Therefore, the equation becomes:
[tex]\[
C = 0.65x + 145
\][/tex]
3. Selecting the Correct Option:
- Look at the given options, and we find that Option B matches the equation we formulated:
- [tex]\( C = 0.65x + 145 \)[/tex]
Thus, the correct equation that models the total reimbursement the company offers is Option B: [tex]\( C = 0.65x + 145 \)[/tex].
1. Understand the Components of Reimbursement:
- Reimbursement per mile: Donald's company reimburses [tex]$0.65 for every mile driven. If \( x \) represents the number of miles driven, then the reimbursement for miles can be expressed as \( 0.65 \times x \).
- Annual maintenance reimbursement: Apart from the per mile reimbursement, the company gives a fixed amount of $[/tex]145 every year for maintenance.
2. Formulating the Total Reimbursement Equation:
- To find the total reimbursement, [tex]\( C \)[/tex], we need to add both the per mile reimbursement and the fixed maintenance amount.
- Therefore, the equation becomes:
[tex]\[
C = 0.65x + 145
\][/tex]
3. Selecting the Correct Option:
- Look at the given options, and we find that Option B matches the equation we formulated:
- [tex]\( C = 0.65x + 145 \)[/tex]
Thus, the correct equation that models the total reimbursement the company offers is Option B: [tex]\( C = 0.65x + 145 \)[/tex].
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