Answer:
Option 1 -
Step-by-step explanation:
Given : The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 6-hour period.
To find : What is a cosine function that models this reaction?
Solution :
General form of cosine function is
Where A is the amplitude
C is the midline
Now, We have given
The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius.
A is the average of temperature,
i.e,
Period of 1 cycle is 6 hour
So,
The temperature is at its lowest point when t = 0 and we know lowest point is -10
So,
Substituting the values we get,
The cosine function is
Therefore, Option 1 is correct.