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Algebra / Linear functions Difficulty: Easy

A contract for a certain service requires a onetime activation cost of $dollar sign 35$ and a monthly cost of $dollar sign 23$ . Which equation represents this situation, where $c$ is the total cost, in dollars, of this service contract for $t$ months?

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Explanation

Choice C is correct. It's given that this service contract requires a monthly cost of $dollar sign 23$ . A monthly cost of $dollar sign 23$ for $t$ months results in a cost of $dollar sign 23 t$ . It's also given that this service contract requires a onetime activation cost of $dollar sign 35$ . Adding the onetime activation cost to the monthly cost of the service contract for $t$ months yields the total cost $c$ , in dollars, of this service contract for $t$ months. Therefore, this situation can be represented by the equation $c = 23 t + 35$ .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.