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Grade 9·10 problems·~14 min·Common Core Math - HS Functions·group·hsf-tf-b-5

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A temperature in a desert town varies periodically. The high is 104°F
and the low is 68°F, with a 24-hour period. The temperature is at its
maximum at $t = 0$ hours. Which equation correctly models the
temperature $T(t)$ ?

$T(t) = 18\cos\!\left(\dfrac{\pi}{12}t\right) + 86$

$T(t) = 36\cos\!\left(\dfrac{\pi}{12}t\right) + 86$

$T(t) = 18\cos\!\left(\dfrac{\pi}{12}t\right) + 104$

$T(t) = 18\cos\!\left(24t\right) + 86$