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Mathematics, 27.05.2021 22:10 tangia

Give brainlsit A group of nine marine scientists is exploring an underwater cave three hundred twenty meters below the surface in Macedonia. The scientists work below the surface in eight-hour shifts. They travel up and down in a pair of diving bells, and each holds three people. When one crew is coming up, the other is being lowered at the same time. The diving bells can be lowered at the rate of thirty two meters per minute but can be raised at the rate of only eight meters per minute. Assume that both diving bells start at the same time and that distances above sea level are positive ones. One of the values you will find in the worksheet below will not make sense in reality. For an extra challenge, you may consider on your own which one it is and why it does not make sense outside of the algebraic model.
Define units for the time, the depth of the diving bell going down, and the depth of the diving bell coming up. Enter a variable for the time and use this variable to write expressions for the depth of the diving bell going down and the depth of the diving bell coming up.

1 What is the depth of each bell after twenty eight minutes?

2 How long does the crew coming up take to reach the surface?

3 How long does the crew going down take to reach the cave?

4 When do the diving bells pass each other during the changeover?

5 After completing the worksheet, graph your model.

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