The temperature of a chemical reaction oscillates between a low of $10 \ {}^\circ C$ and a high of $135 \ {}^\circ C$. The temperature is at its lowest point at time $t = 0$, and reaches its maximum point over a two and a half hour period. It then takes the same amount of time to return back to its initial temperature. Let $y = H(t)$ denote the temperature of the reaction $t$ hours after the reaction begins.

(a) What is the period of the function $y = H(t)$? Include units in your answer.

(b) What is the midline of the function $y = H(t)$? $y =$ Include units in your answer.

(c) What is the amplitude of the function $y = H(t)$? Include units in your answer.

(d) Based on your answers above, make a graph of the function $y = H(t)$ on a piece of paper. Which of the graphs below best matches your graph? Choose One A B C D None of the above