College

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

Answer :

To determine the correct equation that models the total reimbursement offered by Tirn's company, we need to consider two components:

1. Reimbursement per mile: The company offers [tex]$0.45 for each mile driven. If \( x \) represents the number of miles, the total reimbursement based on miles can be calculated as \( 0.45 \times x \).

2. Annual maintenance reimbursement: In addition to the mileage reimbursement, Tirn's company also provides a fixed amount of $[/tex]175 annually for maintenance.

To find the total reimbursement [tex]\( C \)[/tex], we add these two components together:

- The mileage reimbursement is [tex]\( 0.45x \)[/tex].
- The maintenance reimbursement is $175.

Thus, the total amount of reimbursement [tex]\( C \)[/tex] can be modeled by the equation:

[tex]\[ C = 0.45x + 175 \][/tex]

Therefore, the correct answer is:

A. [tex]\( C = 0.45x + 175 \)[/tex]