The function f(t) = 30 sin (pi over 3t) −15 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?

Question

anonymous · Answer

Maximum: 30°; minimum: 15°; period: pi over 3 hours
 Maximum: 30°; minimum: −15°; period: pi over 3 hours
 Maximum: 45°; minimum: 15°; period: 6 hours
 Maximum: 15°; minimum: −45°; period: 6 hours

anonymous · Answer

B

anonymous · Answer

Wait

anonymous · Answer

i totally don't get this if you can help omg ill give you fans and medals and everything lol

anonymous · Answer

@Hero

hero · Answer

Hi, Brooke, would you at least know the limits of the range of the sine function?

hero · Answer

Do you know the minimum and maximum values of sin(x)?

anonymous · Answer

no, I'm so so so confused. i am taking a test and this is the last question and I'm hopeless and this point

anonymous · Answer

@ashthecutie so would you say B

anonymous · Answer

No let me see

hero · Answer

@brookefahey The minimum value of sin(x) is -1. The maximum value of sin(x) is 1.

anonymous · Answer

okay thats what i thought @Hero thanks for explaining that

hero · Answer

Do you know what to do now that you know this information?

anonymous · Answer

@Hero can you help me with my question

anonymous · Answer

@Hero would i plug in -1 and 1 for sin

hero · Answer

Replace sin(pi over 3t) with -1, then solve for f(t) to find the minimum.
Replace sin(pi over 3t) with 1, then solve for f(t) to find the maximum.

hero · Answer

Min of f(t) = 30(-1) - 15
Max of f(t) = 30(1) - 15

anonymous · Answer

that totally makes sense now… so the answer would be D! @Hero

anonymous · Answer

i know you can't give answers but just give me reassurance that i have somewhat of an idea of what is going on

hero · Answer

D is correct.

anonymous · Answer

you are truly the best! thank you sooooo much!