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 Tim's company reimburses him \[tex]$0.45 for every mile he drives and also provides a fixed amount of \$[/tex]175 per year for maintenance. Letting [tex]$x$[/tex] represent the number of miles Tim drives, the reimbursement for driving is given by [tex]$0.45x$[/tex], and the fixed maintenance reimbursement is \[tex]$175. Therefore, the total reimbursement $[/tex]C[tex]$ is modeled by

$[/tex][tex]$
C = 0.45x + 175.
$[/tex][tex]$

Comparing this with the options:

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

Option C is the correct equation that models the total reimbursement.

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