according to this  Your community is hosting a Crab Festival. As part of the event, there is a contest with prizes for teams that contribute the biggest harvest of freshly caught crabs to the Festival dinner. Teams must deliver their catch by 1030 on the day of the Festival. You form a team with two friends. At 1730 the evening before the festival, your team loads a canoe with your crab trap. You paddle out to a point just off the local beach where you toss the trap into the water. As the trap does down...down...down, the rope feeds out of the canoe until it tugs the buoy tied to the end. The trap pulled the buoy over the gunnel of the canoe and then it too went down. The rope was too short! You could see the buoy floating about 1 metre below the surface of the water, too far down for you to safely reach it to pull it back up. One of your friends observes that the tide is quite high. You make a plan to return to retrieve the trap once the tide is lower.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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according to this 

Your community is hosting a Crab Festival. As part of the event, there is a contest with prizes for teams that contribute the biggest harvest of freshly caught crabs to the Festival dinner. Teams must deliver their catch by 1030 on the day of the Festival. You form a team with two friends.

At 1730 the evening before the festival, your team loads a canoe with your crab trap. You paddle out to a point just off the local beach where you toss the trap into the water. As the trap does down...down...down, the rope feeds out of the canoe until it tugs the buoy tied to the end. The trap pulled the buoy over the gunnel of the canoe and then it too went down. The rope was too short! You could see the buoy floating about 1 metre below the surface of the water, too far down for you to safely reach it to pull it back up.

One of your friends observes that the tide is quite high. You make a plan to return to retrieve the trap once the tide is lower. 

 

Answer the questions in the image 

The tide table predicts:
Today
Height Time Height
1.1 m
0437 1.2 m
3.6 m
1201 3.7 m
1.7 m
1458 1.8 m
4.8 m
2203
Tomorrow
Time
0543
1311
1547
DO:
1. Predict the optimal time for your team to return
to retrieve your crab trap in order to participate in the
contest.
2. Explain and justify your solution. Use
mathematical language when possible. State any
assumptions that you make.
3. Submit your detailed solution.
Transcribed Image Text:The tide table predicts: Today Height Time Height 1.1 m 0437 1.2 m 3.6 m 1201 3.7 m 1.7 m 1458 1.8 m 4.8 m 2203 Tomorrow Time 0543 1311 1547 DO: 1. Predict the optimal time for your team to return to retrieve your crab trap in order to participate in the contest. 2. Explain and justify your solution. Use mathematical language when possible. State any assumptions that you make. 3. Submit your detailed solution.
Expert Solution
Step 1

Given information:

  Time Height 
Today 4:37:00 AM 1.1
  12:01:00 PM 3.6
  2:58:00 PM 1.7
  10:03:00 PM 4.8
Tomorrow 5:43:00 AM 1.2
  1:11:00 PM 3.7
  3:47:00 PM 1.8
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