According to the Old Farmer’s Almanac, in Las Vegas, Nevada, the number of hours of sunlight on the summer solstice is 14.63 and the number of 

hours of sunlight on the winter solstice is 9.72.

(a) Find a sinusoidal function of the form y = A sin(ωx – ϕ) + B that fits the data.

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

(c) Draw a graph of the function found in part (a).

(d) Look up the number of hours of sunlight for April 1 in the Old Farmer’s Almanac and compare the actual hours of daylight to the results found in part (c).