The summer and winter solstices are the longest day and night of the year, respectively. The summer solstice happens between June 20 and June 21, while the winter solstice is between December 21 and December 23. At a latitude of the summer solstice is 17.5 hours long and the winter solstice is 17 hours long. Write a sinusoidal equation modeling the hours of daylight in a year. Use for the variable and measure in weeks. For the purposes of this problem, idealize a year to be 52 weeks long, with the winter solstice a week before the new year.