In Honolulu, Hawaii, the number of hours of sunlight on the summer solstice of 2013 (the longest day of the year, day 172) was 13.42 and the number of hours of sunlight on the winter solstice (the
shortest day of the year) was 10.83.

(a) Find a function of the form y = a sin[k(x − c)] + b that models the data.

(b) Use the function from (a) to predict the number of hours of sunlight on April 1st, the 91st day
of the year.

(c) Graph the function found in (a).