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In a Northwest Washington County, drivers who speed will incur a fine of $ 10 for every mile over the speed limit plus a processing fee of $ 50 Write expression to to model the cost of a ticket issued for any speed s in a 55 m p h zone.

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Final answer:

The cost of a speeding ticket in Northwest Washington County for speed s in a 55 mph zone is represented by the expression C = 10(s - 55) + 50, where C is the total cost of the ticket.

Step-by-step explanation:

In Northwest Washington County, the cost of a speeding ticket can be modeled by an expression that includes a fine based on how much over the speed limit a driver is traveling, plus a processing fee. The fine is $10 for every mile per hour over the speed limit, and the processing fee is a flat $50. If the speed limit is 55 mph, then for any speed s that a driver is traveling over the 55 mph limit, the cost C of the ticket issued can be calculated with the following expression:

C = 10(s - 55) + 50

This equation takes into account the additional $10 for every mile per hour the driver is going over the speed limit of 55 mph. The speed will incur a fine that grows linearly with the speed, s, and the processing fee is added to this total fine.

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