A cable tv company charges $50 for the basic service plus $10 for each movie channe. Let C(X) be the total cost in dollars of subcribing to cable tv, using x movie channels. write a cost function for the problem.

what i think it is:

c(x)= 50 + 10x

That looks ok to me.

C (x)=50+10x

Yes, your answer is correct. The cost function for this problem can be represented by the equation:

c(x) = 50 + 10x

In this equation, x represents the number of movie channels you subscribe to, and c(x) represents the total cost in dollars of subscribing to cable TV. The fixed cost of the basic service is $50, and for each additional movie channel, there is an additional cost of $10.