High School

Tim's company offers a reimbursement package of [tex]\$0.45[/tex] per mile plus [tex]\$175[/tex] a year for maintenance. If [tex]x[/tex] represents the number of miles, which equation below models [tex]C[/tex], the total amount of reimbursement the company offers?

A. [tex]C = 45x + 175[/tex]
B. [tex]C = 0.45 + 175x[/tex]
C. [tex]C = 0.45x + 175[/tex]
D. [tex]C = 0.45 + 175[/tex]

Answer :

We are given that the reimbursement includes two parts:

1. A per-mile rate of \[tex]$0.45. For $[/tex]x[tex]$ miles, this part is calculated as:
$[/tex][tex]$0.45x.$[/tex][tex]$

2. A fixed annual maintenance fee of \$[/tex]175.

The total reimbursement is the sum of these two parts:
[tex]$$
C = 0.45x + 175.
$$[/tex]

This matches option C.

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