Question

1. 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. a. If sea level is represented by O feet, explain how you can represent the depth of a submarine descending from sea level to the bottom of Challenger Deep. b. 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? C. 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?

Answer 1

A. The depth of the submarine descending from sea level is given as

=> 35, 814 - d

B. Speed given = 3 feet per second => 3ft/s

Also, speed = distance/ time.

since the depth of the ocean is 35,814 feet. y = 35, 814

The time taken can then be obtained from y= -3x, where x is the time

x = y/3

x = 35814/3

x = 11938 seconds

C. Since the depth is 35,814 This means that y = 35, 814

x = 3hours = 3 x 60 x 60 seconds = 10800 seconds

If y = kx,

k = y/x

k = 35814/ 10800

k= 3.32

So model is y = 3.32x