Answer :
To determine the total reimbursement, we analyze the two components of the package:
1. The company reimburses \[tex]$0.45 for each mile driven. For \( x \) miles, this part of the reimbursement is calculated as:
\[
0.45 \times x = 0.45x
\]
2. There is also a fixed yearly maintenance payment of \$[/tex]175, which does not depend on the number of miles driven.
Thus, the total reimbursement [tex]\( C \)[/tex] is the sum of these two amounts:
[tex]\[
C = 0.45x + 175
\][/tex]
Comparing this with the provided options, the equation that correctly models the reimbursement is:
[tex]\[
\boxed{C = 0.45x + 175}
\][/tex]
So, the correct answer is option A.
1. The company reimburses \[tex]$0.45 for each mile driven. For \( x \) miles, this part of the reimbursement is calculated as:
\[
0.45 \times x = 0.45x
\]
2. There is also a fixed yearly maintenance payment of \$[/tex]175, which does not depend on the number of miles driven.
Thus, the total reimbursement [tex]\( C \)[/tex] is the sum of these two amounts:
[tex]\[
C = 0.45x + 175
\][/tex]
Comparing this with the provided options, the equation that correctly models the reimbursement is:
[tex]\[
\boxed{C = 0.45x + 175}
\][/tex]
So, the correct answer is option A.
