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the following graph shows the sunset times for seward, alaska. use the …

Question

the following graph shows the sunset times for seward, alaska. use the graph to solve problems 15 to 20.

  1. approximate the time of sunset on june 1.
  2. approximate the time of sunset on november 1.
  3. approximate the date(s) when the sunset is 3 pm.
  4. approximate the date(s) when the sunset is 9 pm.
  5. approximate the times when the latest and earliest sunsets occur.
  6. what are the values of the range of this function?

Explanation:

Step1: Locate June 1 on x - axis

June is the 6th month. On the graph, find the point corresponding to the start of June.

Step2: Read y - value

The y - value at the start of June is approximately 8 p.m.

Step3: Locate November 1 on x - axis

November is the 11th month. Find the point corresponding to the start of November on the x - axis.

Step4: Read y - value

The y - value at the start of November is approximately 4:30 p.m.

Step5: Locate 3 p.m. on y - axis

Find the horizontal line at y = 3 p.m.

Step6: Read x - values

The graph intersects y = 3 p.m. at the start of January and near the end of December.

Step7: Locate 9 p.m. on y - axis

Find the horizontal line at y = 9 p.m.

Step8: Read x - values

The graph intersects y = 9 p.m. around mid - May and mid - August.

Step9: Find highest and lowest points

The highest point (latest sunset) is around 10 p.m. in late June. The lowest point (earliest sunset) is around 3 p.m. in late December/early January.

Step10: Determine range

The range is the set of all possible y - values. The lowest y - value is around 3 p.m. and the highest is around 10 p.m. So the range is from 3 p.m. to 10 p.m.

Answer:

  1. 8 p.m.
  2. 4:30 p.m.
  3. Start of January and near the end of December
  4. Mid - May and mid - August
  5. Latest: around 10 p.m. in late June; Earliest: around 3 p.m. in late December/early January
  6. From 3 p.m. to 10 p.m.