Challenger Deep is the deepest known point in the ocean, at 35,814 feet below sea level. In 1960, Jacques Piccard and Don Walsh rode down in the Trieste and became the first people to visit the Challenger Deep. If sea level is represented by 0 feet, explain how you can represent the depth of a submarine descending from sea level to the bottom of Challenger Deep.

Trieste’s descent was a change in depth of -3 feet per second. We can use the relationship y=-3x to model this, where y is the depth (in feet) and x is the time (in seconds). Using this model, how much time would the Trieste take to reach the bottom?

It took the Trieste 3 hours to ascend back to sea level. This can be modeled by a different relationship y=kx. What is the value of k in this situation?

2. The design of the Trieste was based on the design of a hot air balloon built by Auguste Piccard, Jacques's father. In 1932, Auguste rode in his hot-air balloon up to a record-breaking height.

Auguste's ascent took 7 hours and went up 51,683 feet. Write a relationship y=kx to represent his ascent from his starting location.

Auguste's descent took 3 hours and went down 52,940 feet. Write another relationship to represent his descent.

Did Auguste Piccard end up at a greater or lesser altitude than his starting point? How much higher or lower?

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