A group of students is studying ocean tides at a nearby beach. They collected the data in the table shown below.

Date Moon
Phase Tide
Type Height Difference
Between Low
and High Tide
(feet)
January 1 full spring 7.3
January 8 half neap 5.2
January 16 new spring 7.4

They want to predict the next date that the difference between low tide and high tide would be about 7 feet. Based on the information given, what would be the closest date to that occuring?
A.
January 24
B.
January 31
C.
February 15
D.
February 7

1 answer

To predict when the difference between low tide and high tide would be about 7 feet, we should look at the tidal patterns in relation to the phases of the moon.

From the provided data:

  • January 1: Full Moon - Spring Tide (7.3 feet)
  • January 8: Half Moon - Neap Tide (5.2 feet)
  • January 16: New Moon - Spring Tide (7.4 feet)

We observe that spring tides (which occur during full and new moons) have higher tidal differences, while neap tides (which occur during the first and third quarters) have lower tidal differences.

The next full moon after January 16 is on February 15, which would likely produce another spring tide and a tidal height close to around 7 feet, especially given the trend in the data.

Thus, the best estimate for the next date when the difference between low tide and high tide would be about 7 feet is:

C. February 15