Answer :
To solve this problem, we need to create an equation that represents the total amount of reimbursement, [tex]\( C \)[/tex], offered by Tim's company based on the number of miles traveled, [tex]\( x \)[/tex].
Here's a step-by-step breakdown:
1. Identify the components of the reimbursement:
- The company reimburses [tex]\( \$0.65 \)[/tex] per mile.
- There is an additional [tex]\( \$145 \)[/tex] provided annually for maintenance.
2. Translate the components into an equation:
- The reimbursement amount per mile can be expressed as [tex]\( 0.65 \times x \)[/tex], where [tex]\( x \)[/tex] is the number of miles traveled.
- The annual maintenance amount is simply [tex]\( 145 \)[/tex].
3. Combine these components:
- To find the total reimbursement [tex]\( C \)[/tex], you add the mileage reimbursement and the maintenance amount together:
[tex]\[
C = 0.65x + 145
\][/tex]
Therefore, the equation that models [tex]\( C \)[/tex], the total amount of reimbursement, is [tex]\( C = 0.65x + 145 \)[/tex].
From the given options, the correct equation is:
- Option C: [tex]\( C = 0.65x + 145 \)[/tex]
Here's a step-by-step breakdown:
1. Identify the components of the reimbursement:
- The company reimburses [tex]\( \$0.65 \)[/tex] per mile.
- There is an additional [tex]\( \$145 \)[/tex] provided annually for maintenance.
2. Translate the components into an equation:
- The reimbursement amount per mile can be expressed as [tex]\( 0.65 \times x \)[/tex], where [tex]\( x \)[/tex] is the number of miles traveled.
- The annual maintenance amount is simply [tex]\( 145 \)[/tex].
3. Combine these components:
- To find the total reimbursement [tex]\( C \)[/tex], you add the mileage reimbursement and the maintenance amount together:
[tex]\[
C = 0.65x + 145
\][/tex]
Therefore, the equation that models [tex]\( C \)[/tex], the total amount of reimbursement, is [tex]\( C = 0.65x + 145 \)[/tex].
From the given options, the correct equation is:
- Option C: [tex]\( C = 0.65x + 145 \)[/tex]
