Question

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?

Answer 1

3.5 to 20.5 hours

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.