Julie used data from 2017 to create this function to model the amount of daylight in New York City throughout any year. The variable t represents the number of days beginning with the spring equinox (March 21), and D(t) represents the amount of daylight each day, measured in minutes. D(t) = 175.5 sint + 732 1. According to Julie's function, what are the dates in 2017 with the greatest amount and least amount of daylight time? What is the amount of daylight time during each of these days, in hours and minutes? Explain your reasoning. 2. Consider that this trigonometric function is written in the form A sin(Bx + C) + D. a. Explain how your responses to Question 1 relate to the A-value in this context. b. What is the meaning of the B-value and D-value in this context.

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