Chapter 4.5, Problem 83E

To determine

(a)

To create:

A scatter plot of the given data in the table that shows the percent y (in decimal form) of the moon’s face illuminated on day x in the year 2018 with $x=1$ represents January 1.

To determine

(b)

To find:

A trigonometric model of the given data in the table that shows the percent y (in decimal form) of the moon’s face illuminated on day x in the year 2018 with $x=1$ represents January 1.

To determine

(c)

To add the graph:

For the model found in Part b to the scatter plot of the data in the table that shows the percent y (in decimal form) of the moon’s face illuminated on day x in the year 2018 with $x=1$ represents January 1 also to explain the model fits the data well.

To determine

(d)

To find:

The period of the model.

To determine

(e)

To estimate:

The percentage of the moon’s face illumination on March 12, 2018.