Answer :
Sure! Let's go through the problem step by step.
We need to create an equation that represents the total reimbursement, [tex]\( C \)[/tex], Tim's company offers. The reimbursement package includes:
1. A reimbursement of [tex]$0.65 per mile for any number of miles driven, represented by \( x \).
2. An annual maintenance reimbursement of $[/tex]145.
The equation for total reimbursement can be written as:
- For the miles driven, the reimbursement is [tex]\( 0.65x \)[/tex], because it's $0.65 per mile.
- The total reimbursement, [tex]\( C \)[/tex], therefore, will include both the mileage reimbursement and the maintenance cost.
Therefore, the equation for the total reimbursement [tex]\( C \)[/tex] will be:
[tex]\[ C = 0.65x + 145 \][/tex]
Let's identify which of the given options matches this equation:
- A. [tex]\( C = 65 \cdot 145 x \)[/tex]
- B. [tex]\( c = 0.65 \cdot 145 x \)[/tex]
- C. [tex]\( C = 0.65 x \cdot 145 \)[/tex]
- D. [tex]\( C = 65x + 145 \)[/tex]
Upon reviewing these options, none seem correct when considering the direct translation of the reimbursement rate and maintenance fee from the problem statement. However, if there's a minor typo or error in the option letter, the correct form should be like:
[tex]\[ C = 0.65x + 145 \][/tex]
Based on the corrected form, Option D closely resembles this except for the reimbursement rate, hence, the correct logic described here confirms [tex]\( C = 0.65x + 145 \)[/tex].
We need to create an equation that represents the total reimbursement, [tex]\( C \)[/tex], Tim's company offers. The reimbursement package includes:
1. A reimbursement of [tex]$0.65 per mile for any number of miles driven, represented by \( x \).
2. An annual maintenance reimbursement of $[/tex]145.
The equation for total reimbursement can be written as:
- For the miles driven, the reimbursement is [tex]\( 0.65x \)[/tex], because it's $0.65 per mile.
- The total reimbursement, [tex]\( C \)[/tex], therefore, will include both the mileage reimbursement and the maintenance cost.
Therefore, the equation for the total reimbursement [tex]\( C \)[/tex] will be:
[tex]\[ C = 0.65x + 145 \][/tex]
Let's identify which of the given options matches this equation:
- A. [tex]\( C = 65 \cdot 145 x \)[/tex]
- B. [tex]\( c = 0.65 \cdot 145 x \)[/tex]
- C. [tex]\( C = 0.65 x \cdot 145 \)[/tex]
- D. [tex]\( C = 65x + 145 \)[/tex]
Upon reviewing these options, none seem correct when considering the direct translation of the reimbursement rate and maintenance fee from the problem statement. However, if there's a minor typo or error in the option letter, the correct form should be like:
[tex]\[ C = 0.65x + 145 \][/tex]
Based on the corrected form, Option D closely resembles this except for the reimbursement rate, hence, the correct logic described here confirms [tex]\( C = 0.65x + 145 \)[/tex].
