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Home > INT3 > Chapter 10 > Lesson 10.3.2 > Problem 10-175

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 weeks, starting on June 1. Her table and graph of the data are shown at right.

First quadrant graph, x axis scaled with 6 tick marks, with 0 labeled June 1, third tick mark labeled, July 1, sixth tick mark labeled, August 1. Y axis with 8 tick marks. Second tick mark labeled 10:30, fourth labeled, 11:00, sixth labeled 11:30. Discrete points start just above y = 11:15 on y axis, 3 more points rise with a downward opening curve, & last 6 points fall in a curve.

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?

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