The number of hours of daylight, y, on any day of the year in Philadelphia can be modeled using the equation y 12 2 4 sin (2(x 80) 365), where x represents the day number (with January 1 as day 1) a Find the amount of sunlight in Philadelphia on day 354, the shortest day of the year (the winter sol...

a b Day 80 March 21 the spring equinox and day 2625 September 21 or 22 the ...

The number of hours of daylight, y, on any day of the year in Philadelphia can be

Question:

The number of hours of daylight, y, on any day of the year in Philadelphia can be modeled using the equation y = 12 + 2.4 sin (2π(x-80)/365), where x represents the day number (with January 1 as day 1).
a. Find the amount of sunlight in Philadelphia on day 354, the shortest day of the year (the winter solstice).
b. Find the dates on which Philadelphia has exactly 12 hours of daylight.