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

Question

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?

A.

$c = \frac{t}{23} + 35$

B.

$c = \frac{t}{35} + 23$

C.

$c = 23 t + 35$

D.

$c = 35 t + 23$

Accepted Answer

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 $ 23 t . 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 = 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.

Question 821016