M∠AOC=108 ∘
m, angle, A, O, C, equals, 108, degrees
\qquad m \angle AOB = 3x + 4^\circm∠AOB=3x+4
∘
m, angle, A, O, B, equals, 3, x, plus, 4, degrees
\qquad m \angle BOC = 8x - 28^\circm∠BOC=8x−28
∘
m, angle, B, O, C, equals, 8, x, minus, 28, degrees
Find m\angle AOBm∠AOBm, angle, A, O, B:

No solution : there is no number of boxes that she bought

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.