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19 December, 20:23

Suppose the function H (t) = 8.5sin (0.017t - 1.35) + 12 models the hours of sunlight for a town in Alaska, where t = 1 is the first day of the year. Based on the function, what is the approximate range of daylight hours for the town?

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  1. 19 December, 23:17
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    3.5 to 20.5 hours

    Step-by-step explanation:

    The range of the sine function is - 1 to 1, so the range of H will be ...

    -8.5 + 12 = 3.5

    to

    8.5 + 12 = 20.5

    The length of the day varies by 17 hours from 3.5 hours to 20.5 hours.
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