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Will's company offers a reimbursement package of [tex]$0.59 per mile plus $[/tex]275 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]\( C = 0.59 + 275x \)[/tex]
B. [tex]\( C = 59x + 275 \)[/tex]
C. [tex]\( C = 59 + 275x \)[/tex]
D. [tex]\( C = 0.59x + 275 \)[/tex]

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Semsee45idn

Answer:

[tex]\textsf{D.}\quad C = 0.59x + 275[/tex]

Step-by-step explanation:

We are given that Will's company offers a reimbursement package of $0.59 per mile plus $275 a year for maintenance.

Let x represent the number of miles driven.

Let C represent the total amount of reimbursement.

To model the amount reimbursed for mileage, we multiply the number of miles x by the amount offered per mile $0.59, which gives 0.59x. This term represents the reimbursement based on the number of miles driven.

Since the company also offers an annual maintenance reimbursement of $275 regardless of the number of miles driven, we add the constant 275 to the term 0.59x. This gives us the total amount of reimbursement the company offers.

So the equation that models C is:

[tex]\Large\boxed{\boxed{C = 0.59x + 275}}[/tex]

From the provided answer options, this is option D.

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