One 8-oz serving each of coffee, energy drink, and soda contains 202 mg of caffeine. One serving of coffee has 11 mg more caffeine than two servings of soda. One serving of energy drink contains 36 mg less caffeine than one serving each of coffee and soda. Find the amount of caffeine in one serving of each beverage.

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.