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In 1912, the luxury liner Titanic sank after striking an iceberg. It lies on the North Atlantic ocean floor, 3,220 feet higher than the Bismarck.

The phrase "3,220 feet higher than the Bismarck" translates to which mathematical expression?

A. [tex]$-15,720 - 3,220$[/tex]
B. [tex]$-15,720 + 3,220$[/tex]
C. [tex]$15,720 + 3,220$[/tex]
D. [tex]$15,720 - 3,220$[/tex]

At what depth (in feet) is the Titanic resting? [tex]$\square$[/tex]

Answer :

Sure! Let's solve the problem step-by-step.

The problem is about finding the depth at which the Titanic is resting on the ocean floor.

We are given the following information:
- The depth at which the Bismarck is resting: [tex]\(-15,720\)[/tex] feet (below sea level).
- The Titanic is said to be 3,220 feet higher than the Bismarck.

The mathematical expression that translates the phrase "3,220 feet higher than the Bismarck" is [tex]\(-15,720 + 3,220\)[/tex]. This is because being "higher" means we need to add 3,220 feet to the depth of the Bismarck.

Let's do the calculation step-by-step:

1. Start with the depth of the Bismarck:
[tex]\[
-15,720 \text{ feet}
\][/tex]

2. Add the difference in depth (since the Titanic is higher, we add the value):
[tex]\[
-15,720 + 3,220
\][/tex]

3. Perform the addition:
[tex]\[
-15,720 + 3,220 = -12,500
\][/tex]

Therefore, the depth at which the Titanic is resting is:
[tex]\[
-12,500 \text{ feet}
\][/tex]

So, the Titanic is resting at a depth of 12,500 feet below sea level.

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