Question

a. 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.
b. triestes 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 b

Explanation:

Part a

Challenger Deep's depth is a negative value relative to sea level (0 feet), since it is below sea level. We represent this depth with a negative number where the magnitude equals the vertical distance from sea level to the bottom.

First, we need the depth of Challenger Deep, which is 35,814 feet below sea level, so $y = -35814$. We substitute this into the given linear model and solve for $x$ (time).

Step1: Substitute $y=-35814$

$$-35814 = -3x$$

Step2: Solve for $x$ (divide by -3)

$$x = \frac{-35814}{-3} = 11938$$

Answer:

Since sea level is 0 feet, the depth of Challenger Deep (below sea level) is represented as a negative number, where the absolute value of the number is the vertical distance from sea level to the bottom.

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Part b