Justin takes three times as long to do a job as carl does supposed t represent the time it takes carl to do the job then 3t represent the time it takes justin how long does it take justin if car takes a 30sec or 90 sec or a 2-minute

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.