The temperature of a chemical reaction oscillates between a low of 50 C degree a

Question

The temperature of a chemical reaction oscillates between a low of 50 C degree and a high of 85 degree 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?

Explanation / Answer

Midline= (max + min)/2 = (50 +85)/2= 67.5 degree

Amplitude=max-min=85-50= 35 degree

It completes one cycle in 2.5+2.5=5 hrs

Therefore period =5 hr

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