The table shows the percent y (in decimal form) of the moon's face illuminated on day x in the year 2018, where x = 1 corresponds to January1.

(a) Create a scatter plot of the data.
(b) Find a trigonometric model for the data.
(c) Add the graph of your model in part (b) to the scatter plot. How well does the model fit the data?
(d) What is the period of the model?
(e) Estimate the percent of the moon's face illuminated on March 12, 2018.

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1.0 0.5 0.0 16 0.5 24 1.0 38 0.5 Spreadsheet at LarsonPrecalculus.com