student A went to a baseball game and bought 2 hotdogs and 1 bottle water for 10 dollars. Student B went to the same baseball game and bought 4 hotdogs and 5 bottles of water for 26 dollars. Let x represent the price of a hot dog and y represent the price of a bottle water

Graph a should be 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.