Karianne and Lucius are analyzing a linear function on a graph. Karianne says that unit rate is equal to rate of change, but that slope is calculated differently. Lucius says that unit rate, rate of change, and slope are all calculated the same way. Who is correct? Explain your answer.

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.