The following table shows the times and heights for the Tides at Hopewell Rocks in New Brunswick on Thursday October 10^th, 2013 (no for real-people actually predict this).

Time	00 Midnight	01	02	03	04	05	06 (6am)	07	08	09	10	11
Height (m)	2.7	5.6	8.9	11.5	12.7	12.4	10.7	8.3	5.6	3.2	1.6	1.2

Time	12 Noon	13	14	15	16	17	18 (6pm)	19	20	21	22	23
Height (m)	2.3	4.8	8.0	10.9	12.7	12.9	11.7	9.5	6.8	4.2	2.1	1.0

1. Graph the data using the graphing calculator and sketch your results.

1. Using graphing technology, determine an algebraic model for the data.

1. Estimate the height of the water at time 00:30 (at .5 hours) using the table. Calculate the height of the water at time 00:30 (at .5 hours) using the graphing calculatorand algebraically using the model from above.

1. Find the time(s) today at which the height of the tide is 11 m using the graphing calculatorand algebraically using the model.

1. Find the average change in height of the tide from time Noon (12 pm) to 2 pm..

1. Determine the time(s) today when the tide is at its minimum value and its maximum value using the graphing calculator. What is the minimum value and maximum value of the tide using the graphing calculator. Attempt to find the max/ min points with the algebraic model only. What is the amount of time for the tide to go from low tide to high tide?

1. Determine the time(s) today when the tide is rising? falling?

Challenge

1. The first high tide of today (Thursday Oct 10^th) was at 4:27 am. Find the next date that will have the first high tide of the day at 4:27 am.