Question a-cont

1.1 Linear Functions - Rate of change applications
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A contract for a certain service requires a onetime activation cost of $35 and a monthly cost of $23. Which equation represents this situation, where c is the total cost, in dollars, of this service contract for t months?

A.

c=t23+35

B.

c=t35+23

C.

c=23t+35

D.

c=35t+23

A contract for a certain service requires a onetime activation cost of $ 35 and a

Medium-difficulty · SAT Math · Linear Functions — Rate of change applications. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice C is correct. It's given that this service contract requires a monthly cost of $23. A monthly cost of $23 for t months results in a cost of $23t. It's also given that this service contract requires a onetime activation cost of $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=23t+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.