1) if the castles air conditioner cools the castle when the outside temperature is above 25(degree)c, which inequality or equation correctly represents this situation? *using f(x)=24 - 5cos(pi/12t) a. 24 - 5cos(pi/12t) = 0 b. -5cos(pi/12t) - 1 = 0 c. 24 - 5cos(pi/12t) > 0 d. -5cos(pi/12t) - 1 > 0 e. -5cos(pi/12)t - 1 < 0 2) using the answer to question 1, what are the approximate values of the zeros in the given interval [0,24], this is multiple choice. a. x =~ 4.0 b. x =~ -4.0 c. x =~ 6.8 d. x =~ -6.8 e. x =~ 17.2 f. x =~ -17.2 and much appreciated x

1) We think this question is intended to have you use f(t) as a model for the outside temperature, and the answer selection as a statement of when the air-conditioner is running. "This situation" questions are always open to a variety of interpretations.

If our assumptions are correct, the appropriate choice is the one that is equivalent to

... f(t) > 25 . . . . . . . . . . . . . . . outside air temperature is greater than 25

... 24 -5cos(πt/12) > 25 . . . . use the given f(t)

... -5cos(πt/12) - 1 > 0 . . . . . subtract 25; corresponds to selection D

2) A graph shows the solution to be the interval (6.8, 17.2). Selections C and E are appropriate.

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