The health club offers a silver membership and a gold membership at the table contains information about the one time registration fee and monthly fee for each membership and which of the following number of months with the gold membership be a better value than the silver membership 

after 13 months

Step-by-step explanation:

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.