The function f(t) = 25 sin (pi over 2t) + 10 models the temperature of a periodic chemical reaction where t represents time in hours. what are the maximum and minimum temperatures of the reaction, and how long does the entire cycle take? (5 points) a. maximum: 25°; minimum: 10°; period: pi over 2 hours b. maximum: 35°; minimum: 35°; period: 8 hours c. maximum: 100°; minimum: −15°; period: pi over 2 hours d. maximum: 35°; minimum: −15°; period: 4 hours

The correct answer is: Option: D

D. Maximum: 35°   ;  minimum: −15°  ; Period: 4 hours

Step-by-step explanation:

We are given a function f(t) as:

We know that the maximum value of the function is obtained when the sine function is maximum.

i.e. when sine takes the value=1

and the minimum value of the function is obtained when the sine function is minimum.

i.e. when sine takes the value= -1

Hence, the minimum value of the function is:

-25+10= -15

and the maximum value of the function is:

25+10=35

Also the period of the function of the type:

is:

Hence, here we have: b=π/2

Hence, period is:

         Hence, option: D is the correct answer.

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step-by-step explanation: