### Home > INT3 > Chapter 10 > Lesson 10.3.2 > Problem10-175

10-175.

Eliana lives in Anchorage, Alaska. For her senior project, she is doing a report on some of the aspects of living in Alaska that are different from other states in the United States. She knows that Alaska has very late sunsets in the summer, so she has recorded the time the sun set every week for $10$ weeks, starting on June 1. Her table and graph of the data are shown at right.

 Date Time of Sunset Jun 1 11:20 p.m. Jun 7 11:32 p.m. Jun 15 11:39 p.m. Jun 22 11:42 p.m. Jun 29 11:40 p.m. Jul 6 11:33 p.m. Jul 13 11:22 p.m. Jul 20 11:08 p.m. Jul 27 10:51 p.m. Aug 3 10:33 p.m.
1. The summer solstice marks the longest day of the year. Based on Eliana’s information, when do you estimate summer solstice was?

Determine when the sun is up the latest. Estimate the date.

2. If Eliana continues to record and graph sunset times through December, what will her graph look like? Sketch a prediction.

Will her graph ever hit a time of 0? You may need to extend the times below 10:30 pm.

3. What kind of function would you use to model this data? Explain your choice.

Does the graph have a repeating curve shape? What functions look similar?