Does someone know the answer to the problem below?

Answer:
see below
Step-by-step explanation:
The added constant is the value at t=0. It is 47, so only choices A and C make any sense.
A sine function is periodic with period 2π. Here, the period is 4 minutes, so the argument of the sine function needs to be 2π when t=4. That is only the case for choice C.