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Math  /  Algebra

QuestionA submarine starts at the surface of the water. The sub then goes down 100 feet. Over the next three hours, it goes down 150 feet per hour. After this time, what is the depth of the submarine? CLEAR CHECK -550 feet -450 feet -350 feet -250 feet

Studdy Solution

STEP 1

1. The submarine starts at the surface of the water, which is considered as 0 feet.
2. The submarine initially goes down 100 feet.
3. Over the next three hours, it descends at a rate of 150 feet per hour.
4. We are tasked to find the depth of the submarine after these three hours.

STEP 2

1. Determine the initial depth after the first descent.
2. Calculate the total descent over the next three hours.
3. Sum the initial descent and the total descent over the next three hours to find the final depth.

STEP 3

Determine the initial depth after the first descent.
The submarine starts at 0 feet and goes down 100 feet:
Initial Depth=0−100=−100 feet \text{Initial Depth} = 0 - 100 = -100 \text{ feet}

STEP 4

Calculate the total descent over the next three hours.
The submarine descends 150 feet per hour for three hours:
Descent over 3 hours=150×3=450 feet \text{Descent over 3 hours} = 150 \times 3 = 450 \text{ feet}

STEP 5

Sum the initial descent and the total descent over the next three hours to find the final depth.
Final Depth=Initial Depth+Descent over 3 hours \text{Final Depth} = \text{Initial Depth} + \text{Descent over 3 hours} Final Depth=−100−450=−550 feet \text{Final Depth} = -100 - 450 = -550 \text{ feet}
The depth of the submarine after this time is:
−550 feet \boxed{-550 \text{ feet}}

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