Asked by Amy

A city averages 14 hours of daylight in June, 10 hours of daylight in December, and 12 hours of daylight
in both March and September. Assume that the number of hours of daylight varies sinusoidally over a
period of one year. Write two different equations for the number of hours of daylight over time in
months where t = 1 is January (the first month of the year), t = 2 is February etc

Answers

Answered by oobleck
period=12, so k = π/6
centerline = 12
amplitude = (14-10)/2 = 2
it increases from the centerline in March (t=3)
y = 12 + 2sin(π/6 (t-3))
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