The table gives the number of hours between sunrise and sunset for the period between December 21, 1995, and July 29, 1996, in New Orleans, Louisiana, which is located at approximately 30° N latitude.

a. Assign December 31 as day zero, let x represent the number of days after December 31, and let y represent the number of hours between sunrise and sunset. Graph these data and find a sinusoidal model.
b. Which day had the least amount of daylight? How many hours of daylight were there on this day?
c. For locations that are far north, the tilt of the Earth as it orbits the Sun causes days to be very long in summer and very short in winter. (For more information, see the links at.) Homer, Alaska, is located at approximately 60° N latitude. How does its daylight graph compare to your graph in 12a?

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Date Hours 21 Dec 10.217 30 Ja 10.717 11 Mar 1.833 20 May 13.750 26 Dec 10.233 4 Feb 31 Dec 10.2509 5 Jan 10.28314 Feb 11.100 26 Mar 12.2834Jue 13.983 10 Jan 10.35019 Feb 11.250 31 Ma 12.433 9J14.017 15 Jan 10.417 24 Feb 11400 5 Ap 12.583 14 June 14.050 20 Jan 10.517 25 Jan 10.617 Mr 1.68315 Apr 12.833 24 Ju 14.083 Date Hours Date Hours Date Hours Date 29 June 4 July 9 July Hours 10.850 16 Mar 11.983 25 May13.833 9 Feb 10.967 21 Mar 12.133 30 May 13.917 me14.050 4.017 13.983 14 July13.900 24 July 29 July 13.833 13.750 1 Mar153310 Ap 12.733 19 June 14.083 3