7:07 AM Wed Aug 28 . . . 100% C files-cdn.schoology.com WRITING A SINUSOIDAL MODEL 1. The average monthly temperatures for the city of Seattle, Washington are given below. Jan. Feb. March April May June July Aug. Sept. Oct. Nov. Dec. 410 440 470 50 56 610 650 660 610 540 460 420 a. Sketch these data points on the graph below. 90 80 -70 60 50 -40 30 20 10 0 -N. - Go. 8 -co. 10 11 12 13 b. Find the amplitude of the sinusoidal function that models the data.7:07 AM Wed Aug 28 . . . 100% C files-cdn.schoology.com b. Find the amplitude of the sinusoidal function that models the data. c. Determine the vertical shift of the sinusoidal function that models the data. d. What is the period of the sinusoidal function that models the data? e. Write a sinusoidal function that models the monthly temperature, using t = 1 to represent January.7:07 AM Wed Aug 28 . . . 100% C files-cdn.schoology.com 2. The following table shows the number of daylight hours (rounded to the nearest hundredth of an hour) on the first of the month for Edinburgh, Scotland. Use a sinusoidal function of the form y = Asin B(t - C) + D where y is the number of hours of daylight and t is the time measured in months to model this data. Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec 7.08 8.60 10.73 13.15 15.40 17.22 17.48 16.03 13.82 11.52 9.18 7.40