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Donald's company offers a reimbursement package of [tex]\$0.65[/tex] per mile plus [tex]\$145[/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 = 0.65 + 145x[/tex]
B. [tex]C = 65x + 145[/tex]
C. [tex]C = 65 + 145x[/tex]
D. [tex]C = 0.65x + 145[/tex]

Answer :

To determine the correct equation, follow these steps:

1. The company reimburses \$0.65 for each mile driven. This means if $x$ represents the number of miles, the mileage reimbursement is given by
$$0.65x.$$

2. In addition to the per-mile reimbursement, there is a fixed reimbursement of \$145, regardless of how many miles are driven.

3. Therefore, the total reimbursement $C$ is the sum of the per-mile reimbursement and the fixed amount:
$$ C = 0.65x + 145. $$

Among the options provided, this model corresponds to option D.

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